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Finding the Fourth Proportional to 5,757.52, 7,942.64 and 3,398.08

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Solution

The fourth proportional to 5,757.52, 7,942.64 and 3,398.08 is: 4,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.52 : 7,942.64 = 3,398.08 : x
  2. Step 2: Convert to fraction form
    5,757.52/7,942.64 = 3,398.08/x
  3. Step 3: Cross multiply
    5,757.52x = 7,942.64 × 3,398.08
  4. Step 4: Simplify right side
    5,757.52x = 26,989,726.13
  5. Step 5: Solve for x
    x = 26,989,726.13/5,757.52
  6. Step 6: Final answer
    x = 4,687.73

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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.