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Finding the Fourth Proportional to 5,819.38, 8,675.17 and 5,729.47

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Solution

The fourth proportional to 5,819.38, 8,675.17 and 5,729.47 is: 8,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.38 : 8,675.17 = 5,729.47 : x
  2. Step 2: Convert to fraction form
    5,819.38/8,675.17 = 5,729.47/x
  3. Step 3: Cross multiply
    5,819.38x = 8,675.17 × 5,729.47
  4. Step 4: Simplify right side
    5,819.38x = 49,704,090.25
  5. Step 5: Solve for x
    x = 49,704,090.25/5,819.38
  6. Step 6: Final answer
    x = 8,541.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.