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Finding the Fourth Proportional to 3,517.80, 4,854.42 and 2,257.08

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Solution

The fourth proportional to 3,517.80, 4,854.42 and 2,257.08 is: 3,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.80 : 4,854.42 = 2,257.08 : x
  2. Step 2: Convert to fraction form
    3,517.80/4,854.42 = 2,257.08/x
  3. Step 3: Cross multiply
    3,517.80x = 4,854.42 × 2,257.08
  4. Step 4: Simplify right side
    3,517.80x = 10,956,814.29
  5. Step 5: Solve for x
    x = 10,956,814.29/3,517.80
  6. Step 6: Final answer
    x = 3,114.68

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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.