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Finding the Fourth Proportional to 3,667.43, 5,488.16 and 2,281.43

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Solution

The fourth proportional to 3,667.43, 5,488.16 and 2,281.43 is: 3,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.43 : 5,488.16 = 2,281.43 : x
  2. Step 2: Convert to fraction form
    3,667.43/5,488.16 = 2,281.43/x
  3. Step 3: Cross multiply
    3,667.43x = 5,488.16 × 2,281.43
  4. Step 4: Simplify right side
    3,667.43x = 12,520,855.18
  5. Step 5: Solve for x
    x = 12,520,855.18/3,667.43
  6. Step 6: Final answer
    x = 3,414.07

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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.