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Finding the Fourth Proportional to 5,438.71, 8,158.19 and 3,081.88

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Solution

The fourth proportional to 5,438.71, 8,158.19 and 3,081.88 is: 4,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.71 : 8,158.19 = 3,081.88 : x
  2. Step 2: Convert to fraction form
    5,438.71/8,158.19 = 3,081.88/x
  3. Step 3: Cross multiply
    5,438.71x = 8,158.19 × 3,081.88
  4. Step 4: Simplify right side
    5,438.71x = 25,142,562.60
  5. Step 5: Solve for x
    x = 25,142,562.60/5,438.71
  6. Step 6: Final answer
    x = 4,622.89

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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.