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Finding the Fourth Proportional to 3,744.81, 5,616.78 and 1,147.14

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Solution

The fourth proportional to 3,744.81, 5,616.78 and 1,147.14 is: 1,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.81 : 5,616.78 = 1,147.14 : x
  2. Step 2: Convert to fraction form
    3,744.81/5,616.78 = 1,147.14/x
  3. Step 3: Cross multiply
    3,744.81x = 5,616.78 × 1,147.14
  4. Step 4: Simplify right side
    3,744.81x = 6,443,233.01
  5. Step 5: Solve for x
    x = 6,443,233.01/3,744.81
  6. Step 6: Final answer
    x = 1,720.58

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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.