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Finding the Fourth Proportional to 5,398.90, 7,449.98 and 3,983.38

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Solution

The fourth proportional to 5,398.90, 7,449.98 and 3,983.38 is: 5,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.90 : 7,449.98 = 3,983.38 : x
  2. Step 2: Convert to fraction form
    5,398.90/7,449.98 = 3,983.38/x
  3. Step 3: Cross multiply
    5,398.90x = 7,449.98 × 3,983.38
  4. Step 4: Simplify right side
    5,398.90x = 29,676,062.79
  5. Step 5: Solve for x
    x = 29,676,062.79/5,398.90
  6. Step 6: Final answer
    x = 5,496.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.