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Finding the Fourth Proportional to 3,586.44, 5,380.08 and 1,121.22

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Solution

The fourth proportional to 3,586.44, 5,380.08 and 1,121.22 is: 1,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.44 : 5,380.08 = 1,121.22 : x
  2. Step 2: Convert to fraction form
    3,586.44/5,380.08 = 1,121.22/x
  3. Step 3: Cross multiply
    3,586.44x = 5,380.08 × 1,121.22
  4. Step 4: Simplify right side
    3,586.44x = 6,032,253.30
  5. Step 5: Solve for x
    x = 6,032,253.30/3,586.44
  6. Step 6: Final answer
    x = 1,681.96

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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.