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Finding the Fourth Proportional to 3,498.92, 5,248.39 and 3,285.08

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Solution

The fourth proportional to 3,498.92, 5,248.39 and 3,285.08 is: 4,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.92 : 5,248.39 = 3,285.08 : x
  2. Step 2: Convert to fraction form
    3,498.92/5,248.39 = 3,285.08/x
  3. Step 3: Cross multiply
    3,498.92x = 5,248.39 × 3,285.08
  4. Step 4: Simplify right side
    3,498.92x = 17,241,381.02
  5. Step 5: Solve for x
    x = 17,241,381.02/3,498.92
  6. Step 6: Final answer
    x = 4,927.63

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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.