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Finding the Fourth Proportional to 3,648.44, 5,438.00 and 3,440.87

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Solution

The fourth proportional to 3,648.44, 5,438.00 and 3,440.87 is: 5,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.44 : 5,438.00 = 3,440.87 : x
  2. Step 2: Convert to fraction form
    3,648.44/5,438.00 = 3,440.87/x
  3. Step 3: Cross multiply
    3,648.44x = 5,438.00 × 3,440.87
  4. Step 4: Simplify right side
    3,648.44x = 18,711,406.67
  5. Step 5: Solve for x
    x = 18,711,406.67/3,648.44
  6. Step 6: Final answer
    x = 5,128.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.