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Finding the Fourth Proportional to 3,441.28, 5,161.76 and 844.08

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Solution

The fourth proportional to 3,441.28, 5,161.76 and 844.08 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.28 : 5,161.76 = 844.08 : x
  2. Step 2: Convert to fraction form
    3,441.28/5,161.76 = 844.08/x
  3. Step 3: Cross multiply
    3,441.28x = 5,161.76 × 844.08
  4. Step 4: Simplify right side
    3,441.28x = 4,356,938.38
  5. Step 5: Solve for x
    x = 4,356,938.38/3,441.28
  6. Step 6: Final answer
    x = 1,266.08

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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.