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Finding the Fourth Proportional to 4,957.28, 7,434.12 and 3,497.12

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Solution

The fourth proportional to 4,957.28, 7,434.12 and 3,497.12 is: 5,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.28 : 7,434.12 = 3,497.12 : x
  2. Step 2: Convert to fraction form
    4,957.28/7,434.12 = 3,497.12/x
  3. Step 3: Cross multiply
    4,957.28x = 7,434.12 × 3,497.12
  4. Step 4: Simplify right side
    4,957.28x = 25,998,009.73
  5. Step 5: Solve for x
    x = 25,998,009.73/4,957.28
  6. Step 6: Final answer
    x = 5,244.41

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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.