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Finding the Fourth Proportional to 4,242.35, 5,854.49 and 2,353.97

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Solution

The fourth proportional to 4,242.35, 5,854.49 and 2,353.97 is: 3,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.35 : 5,854.49 = 2,353.97 : x
  2. Step 2: Convert to fraction form
    4,242.35/5,854.49 = 2,353.97/x
  3. Step 3: Cross multiply
    4,242.35x = 5,854.49 × 2,353.97
  4. Step 4: Simplify right side
    4,242.35x = 13,781,252.78
  5. Step 5: Solve for x
    x = 13,781,252.78/4,242.35
  6. Step 6: Final answer
    x = 3,248.50

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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.