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Finding the Fourth Proportional to 3,648.37, 5,472.72 and 1,338.61

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Solution

The fourth proportional to 3,648.37, 5,472.72 and 1,338.61 is: 2,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.37 : 5,472.72 = 1,338.61 : x
  2. Step 2: Convert to fraction form
    3,648.37/5,472.72 = 1,338.61/x
  3. Step 3: Cross multiply
    3,648.37x = 5,472.72 × 1,338.61
  4. Step 4: Simplify right side
    3,648.37x = 7,325,831.03
  5. Step 5: Solve for x
    x = 7,325,831.03/3,648.37
  6. Step 6: Final answer
    x = 2,007.97

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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.