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Finding the Fourth Proportional to 5,287.46, 7,920.40 and 2,505.70

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Solution

The fourth proportional to 5,287.46, 7,920.40 and 2,505.70 is: 3,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.46 : 7,920.40 = 2,505.70 : x
  2. Step 2: Convert to fraction form
    5,287.46/7,920.40 = 2,505.70/x
  3. Step 3: Cross multiply
    5,287.46x = 7,920.40 × 2,505.70
  4. Step 4: Simplify right side
    5,287.46x = 19,846,146.28
  5. Step 5: Solve for x
    x = 19,846,146.28/5,287.46
  6. Step 6: Final answer
    x = 3,753.44

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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.