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Finding the Fourth Proportional to 5,292.82, 7,939.68 and 1,397.17

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Solution

The fourth proportional to 5,292.82, 7,939.68 and 1,397.17 is: 2,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.82 : 7,939.68 = 1,397.17 : x
  2. Step 2: Convert to fraction form
    5,292.82/7,939.68 = 1,397.17/x
  3. Step 3: Cross multiply
    5,292.82x = 7,939.68 × 1,397.17
  4. Step 4: Simplify right side
    5,292.82x = 11,093,082.71
  5. Step 5: Solve for x
    x = 11,093,082.71/5,292.82
  6. Step 6: Final answer
    x = 2,095.87

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Why These Related Problems?

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