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Finding the Fourth Proportional to 5,892.88, 8,132.16 and 3,240.43

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Solution

The fourth proportional to 5,892.88, 8,132.16 and 3,240.43 is: 4,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.88 : 8,132.16 = 3,240.43 : x
  2. Step 2: Convert to fraction form
    5,892.88/8,132.16 = 3,240.43/x
  3. Step 3: Cross multiply
    5,892.88x = 8,132.16 × 3,240.43
  4. Step 4: Simplify right side
    5,892.88x = 26,351,695.23
  5. Step 5: Solve for x
    x = 26,351,695.23/5,892.88
  6. Step 6: Final answer
    x = 4,471.79

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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.