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Finding the Fourth Proportional to 4,414.68, 6,092.42 and 2,425.31

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Solution

The fourth proportional to 4,414.68, 6,092.42 and 2,425.31 is: 3,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.68 : 6,092.42 = 2,425.31 : x
  2. Step 2: Convert to fraction form
    4,414.68/6,092.42 = 2,425.31/x
  3. Step 3: Cross multiply
    4,414.68x = 6,092.42 × 2,425.31
  4. Step 4: Simplify right side
    4,414.68x = 14,775,964.56
  5. Step 5: Solve for x
    x = 14,775,964.56/4,414.68
  6. Step 6: Final answer
    x = 3,347.01

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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.