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Finding the Fourth Proportional to 5,472.24, 7,551.74 and 3,114.24

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Solution

The fourth proportional to 5,472.24, 7,551.74 and 3,114.24 is: 4,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.24 : 7,551.74 = 3,114.24 : x
  2. Step 2: Convert to fraction form
    5,472.24/7,551.74 = 3,114.24/x
  3. Step 3: Cross multiply
    5,472.24x = 7,551.74 × 3,114.24
  4. Step 4: Simplify right side
    5,472.24x = 23,517,930.78
  5. Step 5: Solve for x
    x = 23,517,930.78/5,472.24
  6. Step 6: Final answer
    x = 4,297.68

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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.