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Finding the Fourth Proportional to 5,892.61, 8,126.22 and 3,872.47

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Solution

The fourth proportional to 5,892.61, 8,126.22 and 3,872.47 is: 5,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.61 : 8,126.22 = 3,872.47 : x
  2. Step 2: Convert to fraction form
    5,892.61/8,126.22 = 3,872.47/x
  3. Step 3: Cross multiply
    5,892.61x = 8,126.22 × 3,872.47
  4. Step 4: Simplify right side
    5,892.61x = 31,468,543.16
  5. Step 5: Solve for x
    x = 31,468,543.16/5,892.61
  6. Step 6: Final answer
    x = 5,340.34

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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.