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Finding the Fourth Proportional to 5,292.90, 7,939.71 and 2,695.14

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Solution

The fourth proportional to 5,292.90, 7,939.71 and 2,695.14 is: 4,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.90 : 7,939.71 = 2,695.14 : x
  2. Step 2: Convert to fraction form
    5,292.90/7,939.71 = 2,695.14/x
  3. Step 3: Cross multiply
    5,292.90x = 7,939.71 × 2,695.14
  4. Step 4: Simplify right side
    5,292.90x = 21,398,630.01
  5. Step 5: Solve for x
    x = 21,398,630.01/5,292.90
  6. Step 6: Final answer
    x = 4,042.89

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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.