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Finding the Fourth Proportional to 4,242.61, 5,854.60 and 2,354.17

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Solution

The fourth proportional to 4,242.61, 5,854.60 and 2,354.17 is: 3,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.61 : 5,854.60 = 2,354.17 : x
  2. Step 2: Convert to fraction form
    4,242.61/5,854.60 = 2,354.17/x
  3. Step 3: Cross multiply
    4,242.61x = 5,854.60 × 2,354.17
  4. Step 4: Simplify right side
    4,242.61x = 13,782,710.48
  5. Step 5: Solve for x
    x = 13,782,710.48/4,242.61
  6. Step 6: Final answer
    x = 3,248.64

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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.