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Finding the Fourth Proportional to 4,238.38, 6,363.38 and 2,159.78

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Solution

The fourth proportional to 4,238.38, 6,363.38 and 2,159.78 is: 3,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.38 : 6,363.38 = 2,159.78 : x
  2. Step 2: Convert to fraction form
    4,238.38/6,363.38 = 2,159.78/x
  3. Step 3: Cross multiply
    4,238.38x = 6,363.38 × 2,159.78
  4. Step 4: Simplify right side
    4,238.38x = 13,743,522.16
  5. Step 5: Solve for x
    x = 13,743,522.16/4,238.38
  6. Step 6: Final answer
    x = 3,242.64

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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.