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Finding the Fourth Proportional to 5,221.52, 7,818.40 and 4,084.44

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Solution

The fourth proportional to 5,221.52, 7,818.40 and 4,084.44 is: 6,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.52 : 7,818.40 = 4,084.44 : x
  2. Step 2: Convert to fraction form
    5,221.52/7,818.40 = 4,084.44/x
  3. Step 3: Cross multiply
    5,221.52x = 7,818.40 × 4,084.44
  4. Step 4: Simplify right side
    5,221.52x = 31,933,785.70
  5. Step 5: Solve for x
    x = 31,933,785.70/5,221.52
  6. Step 6: Final answer
    x = 6,115.80

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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.