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Finding the Fourth Proportional to 5,710.91, 7,882.31 and 3,721.95

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Solution

The fourth proportional to 5,710.91, 7,882.31 and 3,721.95 is: 5,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.91 : 7,882.31 = 3,721.95 : x
  2. Step 2: Convert to fraction form
    5,710.91/7,882.31 = 3,721.95/x
  3. Step 3: Cross multiply
    5,710.91x = 7,882.31 × 3,721.95
  4. Step 4: Simplify right side
    5,710.91x = 29,337,573.01
  5. Step 5: Solve for x
    x = 29,337,573.01/5,710.91
  6. Step 6: Final answer
    x = 5,137.11

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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.