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Finding the Fourth Proportional to 3,842.40, 5,299.20 and 3,001.80

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Solution

The fourth proportional to 3,842.40, 5,299.20 and 3,001.80 is: 4,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.40 : 5,299.20 = 3,001.80 : x
  2. Step 2: Convert to fraction form
    3,842.40/5,299.20 = 3,001.80/x
  3. Step 3: Cross multiply
    3,842.40x = 5,299.20 × 3,001.80
  4. Step 4: Simplify right side
    3,842.40x = 15,907,138.56
  5. Step 5: Solve for x
    x = 15,907,138.56/3,842.40
  6. Step 6: Final answer
    x = 4,139.90

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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.