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Finding the Fourth Proportional to 3,517.43, 5,248.80 and 3,207.06

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Solution

The fourth proportional to 3,517.43, 5,248.80 and 3,207.06 is: 4,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.43 : 5,248.80 = 3,207.06 : x
  2. Step 2: Convert to fraction form
    3,517.43/5,248.80 = 3,207.06/x
  3. Step 3: Cross multiply
    3,517.43x = 5,248.80 × 3,207.06
  4. Step 4: Simplify right side
    3,517.43x = 16,833,216.53
  5. Step 5: Solve for x
    x = 16,833,216.53/3,517.43
  6. Step 6: Final answer
    x = 4,785.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.