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Finding the Fourth Proportional to 3,688.49, 5,535 and 1,497.24

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Solution

The fourth proportional to 3,688.49, 5,535 and 1,497.24 is: 2,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.49 : 5,535 = 1,497.24 : x
  2. Step 2: Convert to fraction form
    3,688.49/5,535 = 1,497.24/x
  3. Step 3: Cross multiply
    3,688.49x = 5,535 × 1,497.24
  4. Step 4: Simplify right side
    3,688.49x = 8,287,223.40
  5. Step 5: Solve for x
    x = 8,287,223.40/3,688.49
  6. Step 6: Final answer
    x = 2,246.78

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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.