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Finding the Fourth Proportional to 3,691.46, 5,092.94 and 2,365.90

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Solution

The fourth proportional to 3,691.46, 5,092.94 and 2,365.90 is: 3,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.46 : 5,092.94 = 2,365.90 : x
  2. Step 2: Convert to fraction form
    3,691.46/5,092.94 = 2,365.90/x
  3. Step 3: Cross multiply
    3,691.46x = 5,092.94 × 2,365.90
  4. Step 4: Simplify right side
    3,691.46x = 12,049,386.75
  5. Step 5: Solve for x
    x = 12,049,386.75/3,691.46
  6. Step 6: Final answer
    x = 3,264.12

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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.