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Finding the Fourth Proportional to 3,517.85, 4,851.15 and 2,258.71

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Solution

The fourth proportional to 3,517.85, 4,851.15 and 2,258.71 is: 3,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.85 : 4,851.15 = 2,258.71 : x
  2. Step 2: Convert to fraction form
    3,517.85/4,851.15 = 2,258.71/x
  3. Step 3: Cross multiply
    3,517.85x = 4,851.15 × 2,258.71
  4. Step 4: Simplify right side
    3,517.85x = 10,957,341.02
  5. Step 5: Solve for x
    x = 10,957,341.02/3,517.85
  6. Step 6: Final answer
    x = 3,114.78

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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.