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Finding the Fourth Proportional to 3,426.83, 5,140.57 and 961.64

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Solution

The fourth proportional to 3,426.83, 5,140.57 and 961.64 is: 1,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.83 : 5,140.57 = 961.64 : x
  2. Step 2: Convert to fraction form
    3,426.83/5,140.57 = 961.64/x
  3. Step 3: Cross multiply
    3,426.83x = 5,140.57 × 961.64
  4. Step 4: Simplify right side
    3,426.83x = 4,943,368.90
  5. Step 5: Solve for x
    x = 4,943,368.90/3,426.83
  6. Step 6: Final answer
    x = 1,442.55

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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.