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Finding the Fourth Proportional to 3,725.52, 5,140.98 and 3,366.96

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Solution

The fourth proportional to 3,725.52, 5,140.98 and 3,366.96 is: 4,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.52 : 5,140.98 = 3,366.96 : x
  2. Step 2: Convert to fraction form
    3,725.52/5,140.98 = 3,366.96/x
  3. Step 3: Cross multiply
    3,725.52x = 5,140.98 × 3,366.96
  4. Step 4: Simplify right side
    3,725.52x = 17,309,474.02
  5. Step 5: Solve for x
    x = 17,309,474.02/3,725.52
  6. Step 6: Final answer
    x = 4,646.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.