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Finding the Fourth Proportional to 5,648.38, 8,472.57 and 1,544.38

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Solution

The fourth proportional to 5,648.38, 8,472.57 and 1,544.38 is: 2,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.38 : 8,472.57 = 1,544.38 : x
  2. Step 2: Convert to fraction form
    5,648.38/8,472.57 = 1,544.38/x
  3. Step 3: Cross multiply
    5,648.38x = 8,472.57 × 1,544.38
  4. Step 4: Simplify right side
    5,648.38x = 13,084,817.57
  5. Step 5: Solve for x
    x = 13,084,817.57/5,648.38
  6. Step 6: Final answer
    x = 2,316.56

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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.