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Finding the Fourth Proportional to 3,238.63, 4,470.78 and 2,119.62

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Solution

The fourth proportional to 3,238.63, 4,470.78 and 2,119.62 is: 2,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.63 : 4,470.78 = 2,119.62 : x
  2. Step 2: Convert to fraction form
    3,238.63/4,470.78 = 2,119.62/x
  3. Step 3: Cross multiply
    3,238.63x = 4,470.78 × 2,119.62
  4. Step 4: Simplify right side
    3,238.63x = 9,476,354.70
  5. Step 5: Solve for x
    x = 9,476,354.70/3,238.63
  6. Step 6: Final answer
    x = 2,926.04

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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.