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Finding the Fourth Proportional to 5,471.46, 7,550.78 and 3,172.28

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Solution

The fourth proportional to 5,471.46, 7,550.78 and 3,172.28 is: 4,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.46 : 7,550.78 = 3,172.28 : x
  2. Step 2: Convert to fraction form
    5,471.46/7,550.78 = 3,172.28/x
  3. Step 3: Cross multiply
    5,471.46x = 7,550.78 × 3,172.28
  4. Step 4: Simplify right side
    5,471.46x = 23,953,134.76
  5. Step 5: Solve for x
    x = 23,953,134.76/5,471.46
  6. Step 6: Final answer
    x = 4,377.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.