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Finding the Fourth Proportional to 3,223.95, 4,449.15 and 2,281.44

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Solution

The fourth proportional to 3,223.95, 4,449.15 and 2,281.44 is: 3,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.95 : 4,449.15 = 2,281.44 : x
  2. Step 2: Convert to fraction form
    3,223.95/4,449.15 = 2,281.44/x
  3. Step 3: Cross multiply
    3,223.95x = 4,449.15 × 2,281.44
  4. Step 4: Simplify right side
    3,223.95x = 10,150,468.78
  5. Step 5: Solve for x
    x = 10,150,468.78/3,223.95
  6. Step 6: Final answer
    x = 3,148.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.