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Finding the Fourth Proportional to 3,426.93, 5,140.38 and 961.80

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Solution

The fourth proportional to 3,426.93, 5,140.38 and 961.80 is: 1,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.93 : 5,140.38 = 961.80 : x
  2. Step 2: Convert to fraction form
    3,426.93/5,140.38 = 961.80/x
  3. Step 3: Cross multiply
    3,426.93x = 5,140.38 × 961.80
  4. Step 4: Simplify right side
    3,426.93x = 4,944,017.48
  5. Step 5: Solve for x
    x = 4,944,017.48/3,426.93
  6. Step 6: Final answer
    x = 1,442.70

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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.