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Finding the Fourth Proportional to 4,242.73, 5,854.31 and 2,425.73

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Solution

The fourth proportional to 4,242.73, 5,854.31 and 2,425.73 is: 3,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.73 : 5,854.31 = 2,425.73 : x
  2. Step 2: Convert to fraction form
    4,242.73/5,854.31 = 2,425.73/x
  3. Step 3: Cross multiply
    4,242.73x = 5,854.31 × 2,425.73
  4. Step 4: Simplify right side
    4,242.73x = 14,200,934.00
  5. Step 5: Solve for x
    x = 14,200,934.00/4,242.73
  6. Step 6: Final answer
    x = 3,347.12

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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.