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Finding the Fourth Proportional to 6,123.39, 8,447.76 and 3,998.18

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Solution

The fourth proportional to 6,123.39, 8,447.76 and 3,998.18 is: 5,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.39 : 8,447.76 = 3,998.18 : x
  2. Step 2: Convert to fraction form
    6,123.39/8,447.76 = 3,998.18/x
  3. Step 3: Cross multiply
    6,123.39x = 8,447.76 × 3,998.18
  4. Step 4: Simplify right side
    6,123.39x = 33,775,686.20
  5. Step 5: Solve for x
    x = 33,775,686.20/6,123.39
  6. Step 6: Final answer
    x = 5,515.85

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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.