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Finding the Fourth Proportional to 3,695.82, 5,101.68 and 2,517.54

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Solution

The fourth proportional to 3,695.82, 5,101.68 and 2,517.54 is: 3,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.82 : 5,101.68 = 2,517.54 : x
  2. Step 2: Convert to fraction form
    3,695.82/5,101.68 = 2,517.54/x
  3. Step 3: Cross multiply
    3,695.82x = 5,101.68 × 2,517.54
  4. Step 4: Simplify right side
    3,695.82x = 12,843,683.47
  5. Step 5: Solve for x
    x = 12,843,683.47/3,695.82
  6. Step 6: Final answer
    x = 3,475.19

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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.