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Finding the Fourth Proportional to 3,747.44, 5,622.12 and 1,439.12

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Solution

The fourth proportional to 3,747.44, 5,622.12 and 1,439.12 is: 2,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.44 : 5,622.12 = 1,439.12 : x
  2. Step 2: Convert to fraction form
    3,747.44/5,622.12 = 1,439.12/x
  3. Step 3: Cross multiply
    3,747.44x = 5,622.12 × 1,439.12
  4. Step 4: Simplify right side
    3,747.44x = 8,090,905.33
  5. Step 5: Solve for x
    x = 8,090,905.33/3,747.44
  6. Step 6: Final answer
    x = 2,159.05

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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.