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Finding the Fourth Proportional to 3,498.92, 5,248.38 and 1,158.29

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Solution

The fourth proportional to 3,498.92, 5,248.38 and 1,158.29 is: 1,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.92 : 5,248.38 = 1,158.29 : x
  2. Step 2: Convert to fraction form
    3,498.92/5,248.38 = 1,158.29/x
  3. Step 3: Cross multiply
    3,498.92x = 5,248.38 × 1,158.29
  4. Step 4: Simplify right side
    3,498.92x = 6,079,146.07
  5. Step 5: Solve for x
    x = 6,079,146.07/3,498.92
  6. Step 6: Final answer
    x = 1,737.44

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.