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Finding the Fourth Proportional to 3,426.39, 5,139.02 and 961.22

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Solution

The fourth proportional to 3,426.39, 5,139.02 and 961.22 is: 1,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.39 : 5,139.02 = 961.22 : x
  2. Step 2: Convert to fraction form
    3,426.39/5,139.02 = 961.22/x
  3. Step 3: Cross multiply
    3,426.39x = 5,139.02 × 961.22
  4. Step 4: Simplify right side
    3,426.39x = 4,939,744.06
  5. Step 5: Solve for x
    x = 4,939,744.06/3,426.39
  6. Step 6: Final answer
    x = 1,441.68

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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.