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Finding the Fourth Proportional to 3,442.40, 5,163.60 and 2,578.40

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Solution

The fourth proportional to 3,442.40, 5,163.60 and 2,578.40 is: 3,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.40 : 5,163.60 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    3,442.40/5,163.60 = 2,578.40/x
  3. Step 3: Cross multiply
    3,442.40x = 5,163.60 × 2,578.40
  4. Step 4: Simplify right side
    3,442.40x = 13,313,826.24
  5. Step 5: Solve for x
    x = 13,313,826.24/3,442.40
  6. Step 6: Final answer
    x = 3,867.60

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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.