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Finding the Fourth Proportional to 4,228.38, 6,344.38 and 2,280.12

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Solution

The fourth proportional to 4,228.38, 6,344.38 and 2,280.12 is: 3,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.38 : 6,344.38 = 2,280.12 : x
  2. Step 2: Convert to fraction form
    4,228.38/6,344.38 = 2,280.12/x
  3. Step 3: Cross multiply
    4,228.38x = 6,344.38 × 2,280.12
  4. Step 4: Simplify right side
    4,228.38x = 14,465,947.73
  5. Step 5: Solve for x
    x = 14,465,947.73/4,228.38
  6. Step 6: Final answer
    x = 3,421.16

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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.