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Finding the Fourth Proportional to 3,338.46, 5,007.54 and 1,147.20

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Solution

The fourth proportional to 3,338.46, 5,007.54 and 1,147.20 is: 1,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.46 : 5,007.54 = 1,147.20 : x
  2. Step 2: Convert to fraction form
    3,338.46/5,007.54 = 1,147.20/x
  3. Step 3: Cross multiply
    3,338.46x = 5,007.54 × 1,147.20
  4. Step 4: Simplify right side
    3,338.46x = 5,744,649.89
  5. Step 5: Solve for x
    x = 5,744,649.89/3,338.46
  6. Step 6: Final answer
    x = 1,720.75

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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.