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Finding the Fourth Proportional to 3,534.91, 5,302.37 and 1,974.66

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Solution

The fourth proportional to 3,534.91, 5,302.37 and 1,974.66 is: 2,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.91 : 5,302.37 = 1,974.66 : x
  2. Step 2: Convert to fraction form
    3,534.91/5,302.37 = 1,974.66/x
  3. Step 3: Cross multiply
    3,534.91x = 5,302.37 × 1,974.66
  4. Step 4: Simplify right side
    3,534.91x = 10,470,377.94
  5. Step 5: Solve for x
    x = 10,470,377.94/3,534.91
  6. Step 6: Final answer
    x = 2,961.99

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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.