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Finding the Fourth Proportional to 3,426.92, 5,139.99 and 961.83

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Solution

The fourth proportional to 3,426.92, 5,139.99 and 961.83 is: 1,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.92 : 5,139.99 = 961.83 : x
  2. Step 2: Convert to fraction form
    3,426.92/5,139.99 = 961.83/x
  3. Step 3: Cross multiply
    3,426.92x = 5,139.99 × 961.83
  4. Step 4: Simplify right side
    3,426.92x = 4,943,811.84
  5. Step 5: Solve for x
    x = 4,943,811.84/3,426.92
  6. Step 6: Final answer
    x = 1,442.64

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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.