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Finding the Fourth Proportional to 4,967.28, 7,451.28 and 2,049.12

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Solution

The fourth proportional to 4,967.28, 7,451.28 and 2,049.12 is: 3,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.28 : 7,451.28 = 2,049.12 : x
  2. Step 2: Convert to fraction form
    4,967.28/7,451.28 = 2,049.12/x
  3. Step 3: Cross multiply
    4,967.28x = 7,451.28 × 2,049.12
  4. Step 4: Simplify right side
    4,967.28x = 15,268,566.87
  5. Step 5: Solve for x
    x = 15,268,566.87/4,967.28
  6. Step 6: Final answer
    x = 3,073.83

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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.