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Finding the Fourth Proportional to 4,573.28, 6,851.28 and 2,257.76

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Solution

The fourth proportional to 4,573.28, 6,851.28 and 2,257.76 is: 3,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.28 : 6,851.28 = 2,257.76 : x
  2. Step 2: Convert to fraction form
    4,573.28/6,851.28 = 2,257.76/x
  3. Step 3: Cross multiply
    4,573.28x = 6,851.28 × 2,257.76
  4. Step 4: Simplify right side
    4,573.28x = 15,468,545.93
  5. Step 5: Solve for x
    x = 15,468,545.93/4,573.28
  6. Step 6: Final answer
    x = 3,382.37

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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.