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Finding the Fourth Proportional to 3,478.43, 5,218.30 and 1,398.59

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Solution

The fourth proportional to 3,478.43, 5,218.30 and 1,398.59 is: 2,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.43 : 5,218.30 = 1,398.59 : x
  2. Step 2: Convert to fraction form
    3,478.43/5,218.30 = 1,398.59/x
  3. Step 3: Cross multiply
    3,478.43x = 5,218.30 × 1,398.59
  4. Step 4: Simplify right side
    3,478.43x = 7,298,286.78
  5. Step 5: Solve for x
    x = 7,298,286.78/3,478.43
  6. Step 6: Final answer
    x = 2,098.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.