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Finding the Fourth Proportional to 3,691.40, 5,092.85 and 2,365.83

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Solution

The fourth proportional to 3,691.40, 5,092.85 and 2,365.83 is: 3,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.40 : 5,092.85 = 2,365.83 : x
  2. Step 2: Convert to fraction form
    3,691.40/5,092.85 = 2,365.83/x
  3. Step 3: Cross multiply
    3,691.40x = 5,092.85 × 2,365.83
  4. Step 4: Simplify right side
    3,691.40x = 12,048,842.33
  5. Step 5: Solve for x
    x = 12,048,842.33/3,691.40
  6. Step 6: Final answer
    x = 3,264.03

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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.