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Finding the Fourth Proportional to 4,957.68, 7,436.19 and 1,447.56

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Solution

The fourth proportional to 4,957.68, 7,436.19 and 1,447.56 is: 2,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.68 : 7,436.19 = 1,447.56 : x
  2. Step 2: Convert to fraction form
    4,957.68/7,436.19 = 1,447.56/x
  3. Step 3: Cross multiply
    4,957.68x = 7,436.19 × 1,447.56
  4. Step 4: Simplify right side
    4,957.68x = 10,764,331.20
  5. Step 5: Solve for x
    x = 10,764,331.20/4,957.68
  6. Step 6: Final answer
    x = 2,171.24

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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.