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Finding the Fourth Proportional to 5,338.29, 8,000.47 and 3,862.49

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Solution

The fourth proportional to 5,338.29, 8,000.47 and 3,862.49 is: 5,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.29 : 8,000.47 = 3,862.49 : x
  2. Step 2: Convert to fraction form
    5,338.29/8,000.47 = 3,862.49/x
  3. Step 3: Cross multiply
    5,338.29x = 8,000.47 × 3,862.49
  4. Step 4: Simplify right side
    5,338.29x = 30,901,700.20
  5. Step 5: Solve for x
    x = 30,901,700.20/5,338.29
  6. Step 6: Final answer
    x = 5,788.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.