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Finding the Fourth Proportional to 3,702.29, 5,102.13 and 2,652.53

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Solution

The fourth proportional to 3,702.29, 5,102.13 and 2,652.53 is: 3,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.29 : 5,102.13 = 2,652.53 : x
  2. Step 2: Convert to fraction form
    3,702.29/5,102.13 = 2,652.53/x
  3. Step 3: Cross multiply
    3,702.29x = 5,102.13 × 2,652.53
  4. Step 4: Simplify right side
    3,702.29x = 13,533,552.89
  5. Step 5: Solve for x
    x = 13,533,552.89/3,702.29
  6. Step 6: Final answer
    x = 3,655.45

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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.