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Finding the Fourth Proportional to 5,761.92, 8,626.26 and 2,982

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Solution

The fourth proportional to 5,761.92, 8,626.26 and 2,982 is: 4,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.92 : 8,626.26 = 2,982 : x
  2. Step 2: Convert to fraction form
    5,761.92/8,626.26 = 2,982/x
  3. Step 3: Cross multiply
    5,761.92x = 8,626.26 × 2,982
  4. Step 4: Simplify right side
    5,761.92x = 25,723,507.32
  5. Step 5: Solve for x
    x = 25,723,507.32/5,761.92
  6. Step 6: Final answer
    x = 4,464.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.