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Finding the Fourth Proportional to 3,336.39, 5,004.52 and 871.20

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Solution

The fourth proportional to 3,336.39, 5,004.52 and 871.20 is: 1,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336.39 : 5,004.52 = 871.20 : x
  2. Step 2: Convert to fraction form
    3,336.39/5,004.52 = 871.20/x
  3. Step 3: Cross multiply
    3,336.39x = 5,004.52 × 871.20
  4. Step 4: Simplify right side
    3,336.39x = 4,359,935.65
  5. Step 5: Solve for x
    x = 4,359,935.65/3,336.39
  6. Step 6: Final answer
    x = 1,306.78

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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.