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Finding the Fourth Proportional to 5,397.62, 7,400.17 and 5,299.22

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Solution

The fourth proportional to 5,397.62, 7,400.17 and 5,299.22 is: 7,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.62 : 7,400.17 = 5,299.22 : x
  2. Step 2: Convert to fraction form
    5,397.62/7,400.17 = 5,299.22/x
  3. Step 3: Cross multiply
    5,397.62x = 7,400.17 × 5,299.22
  4. Step 4: Simplify right side
    5,397.62x = 39,215,102.37
  5. Step 5: Solve for x
    x = 39,215,102.37/5,397.62
  6. Step 6: Final answer
    x = 7,265.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.