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Finding the Fourth Proportional to 3,442.28, 5,163.78 and 1,133.78

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Solution

The fourth proportional to 3,442.28, 5,163.78 and 1,133.78 is: 1,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.28 : 5,163.78 = 1,133.78 : x
  2. Step 2: Convert to fraction form
    3,442.28/5,163.78 = 1,133.78/x
  3. Step 3: Cross multiply
    3,442.28x = 5,163.78 × 1,133.78
  4. Step 4: Simplify right side
    3,442.28x = 5,854,590.49
  5. Step 5: Solve for x
    x = 5,854,590.49/3,442.28
  6. Step 6: Final answer
    x = 1,700.79

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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.