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Finding the Fourth Proportional to 6,458.20, 8,911.22 and 3,806.13

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Solution

The fourth proportional to 6,458.20, 8,911.22 and 3,806.13 is: 5,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.20 : 8,911.22 = 3,806.13 : x
  2. Step 2: Convert to fraction form
    6,458.20/8,911.22 = 3,806.13/x
  3. Step 3: Cross multiply
    6,458.20x = 8,911.22 × 3,806.13
  4. Step 4: Simplify right side
    6,458.20x = 33,917,293.57
  5. Step 5: Solve for x
    x = 33,917,293.57/6,458.20
  6. Step 6: Final answer
    x = 5,251.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.