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Finding the Fourth Proportional to 3,426.03, 5,139.32 and 961.05

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Solution

The fourth proportional to 3,426.03, 5,139.32 and 961.05 is: 1,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.03 : 5,139.32 = 961.05 : x
  2. Step 2: Convert to fraction form
    3,426.03/5,139.32 = 961.05/x
  3. Step 3: Cross multiply
    3,426.03x = 5,139.32 × 961.05
  4. Step 4: Simplify right side
    3,426.03x = 4,939,138.68
  5. Step 5: Solve for x
    x = 4,939,138.68/3,426.03
  6. Step 6: Final answer
    x = 1,441.65

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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.