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Finding the Fourth Proportional to 4,242.80, 5,854.74 and 2,354.15

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Solution

The fourth proportional to 4,242.80, 5,854.74 and 2,354.15 is: 3,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.80 : 5,854.74 = 2,354.15 : x
  2. Step 2: Convert to fraction form
    4,242.80/5,854.74 = 2,354.15/x
  3. Step 3: Cross multiply
    4,242.80x = 5,854.74 × 2,354.15
  4. Step 4: Simplify right side
    4,242.80x = 13,782,936.17
  5. Step 5: Solve for x
    x = 13,782,936.17/4,242.80
  6. Step 6: Final answer
    x = 3,248.55

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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.