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Finding the Fourth Proportional to 3,535.52, 5,308.08 and 2,437.16

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Solution

The fourth proportional to 3,535.52, 5,308.08 and 2,437.16 is: 3,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.52 : 5,308.08 = 2,437.16 : x
  2. Step 2: Convert to fraction form
    3,535.52/5,308.08 = 2,437.16/x
  3. Step 3: Cross multiply
    3,535.52x = 5,308.08 × 2,437.16
  4. Step 4: Simplify right side
    3,535.52x = 12,936,640.25
  5. Step 5: Solve for x
    x = 12,936,640.25/3,535.52
  6. Step 6: Final answer
    x = 3,659.05

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