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Finding the Fourth Proportional to 5,629.20, 8,443.80 and 3,442.20

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Solution

The fourth proportional to 5,629.20, 8,443.80 and 3,442.20 is: 5,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.20 : 8,443.80 = 3,442.20 : x
  2. Step 2: Convert to fraction form
    5,629.20/8,443.80 = 3,442.20/x
  3. Step 3: Cross multiply
    5,629.20x = 8,443.80 × 3,442.20
  4. Step 4: Simplify right side
    5,629.20x = 29,065,248.36
  5. Step 5: Solve for x
    x = 29,065,248.36/5,629.20
  6. Step 6: Final answer
    x = 5,163.30

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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.