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Finding the Fourth Proportional to 5,997.40, 8,275.56 and 3,344.42

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Solution

The fourth proportional to 5,997.40, 8,275.56 and 3,344.42 is: 4,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.40 : 8,275.56 = 3,344.42 : x
  2. Step 2: Convert to fraction form
    5,997.40/8,275.56 = 3,344.42/x
  3. Step 3: Cross multiply
    5,997.40x = 8,275.56 × 3,344.42
  4. Step 4: Simplify right side
    5,997.40x = 27,676,948.38
  5. Step 5: Solve for x
    x = 27,676,948.38/5,997.40
  6. Step 6: Final answer
    x = 4,614.82

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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.