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Finding the Fourth Proportional to 4,140.90, 5,713.81 and 2,462.27

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Solution

The fourth proportional to 4,140.90, 5,713.81 and 2,462.27 is: 3,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.90 : 5,713.81 = 2,462.27 : x
  2. Step 2: Convert to fraction form
    4,140.90/5,713.81 = 2,462.27/x
  3. Step 3: Cross multiply
    4,140.90x = 5,713.81 × 2,462.27
  4. Step 4: Simplify right side
    4,140.90x = 14,068,942.95
  5. Step 5: Solve for x
    x = 14,068,942.95/4,140.90
  6. Step 6: Final answer
    x = 3,397.56

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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.