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Finding the Fourth Proportional to 5,822.71, 8,729.45 and 5,425.97

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Solution

The fourth proportional to 5,822.71, 8,729.45 and 5,425.97 is: 8,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.71 : 8,729.45 = 5,425.97 : x
  2. Step 2: Convert to fraction form
    5,822.71/8,729.45 = 5,425.97/x
  3. Step 3: Cross multiply
    5,822.71x = 8,729.45 × 5,425.97
  4. Step 4: Simplify right side
    5,822.71x = 47,365,717.23
  5. Step 5: Solve for x
    x = 47,365,717.23/5,822.71
  6. Step 6: Final answer
    x = 8,134.66

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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.