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Finding the Fourth Proportional to 5,472.56, 7,549.32 and 3,584.72

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Solution

The fourth proportional to 5,472.56, 7,549.32 and 3,584.72 is: 4,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.56 : 7,549.32 = 3,584.72 : x
  2. Step 2: Convert to fraction form
    5,472.56/7,549.32 = 3,584.72/x
  3. Step 3: Cross multiply
    5,472.56x = 7,549.32 × 3,584.72
  4. Step 4: Simplify right side
    5,472.56x = 27,062,198.39
  5. Step 5: Solve for x
    x = 27,062,198.39/5,472.56
  6. Step 6: Final answer
    x = 4,945.07

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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.