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Finding the Fourth Proportional to 5,287.20, 7,930.80 and 2,000.40

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Solution

The fourth proportional to 5,287.20, 7,930.80 and 2,000.40 is: 3,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.20 : 7,930.80 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    5,287.20/7,930.80 = 2,000.40/x
  3. Step 3: Cross multiply
    5,287.20x = 7,930.80 × 2,000.40
  4. Step 4: Simplify right side
    5,287.20x = 15,864,772.32
  5. Step 5: Solve for x
    x = 15,864,772.32/5,287.20
  6. Step 6: Final answer
    x = 3,000.60

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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.