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Finding the Fourth Proportional to 3,586.44, 5,377.92 and 1,334.24

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Solution

The fourth proportional to 3,586.44, 5,377.92 and 1,334.24 is: 2,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.44 : 5,377.92 = 1,334.24 : x
  2. Step 2: Convert to fraction form
    3,586.44/5,377.92 = 1,334.24/x
  3. Step 3: Cross multiply
    3,586.44x = 5,377.92 × 1,334.24
  4. Step 4: Simplify right side
    3,586.44x = 7,175,435.98
  5. Step 5: Solve for x
    x = 7,175,435.98/3,586.44
  6. Step 6: Final answer
    x = 2,000.71

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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.