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Finding the Fourth Proportional to 3,720.96, 5,581.43 and 1,767.24

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Solution

The fourth proportional to 3,720.96, 5,581.43 and 1,767.24 is: 2,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.96 : 5,581.43 = 1,767.24 : x
  2. Step 2: Convert to fraction form
    3,720.96/5,581.43 = 1,767.24/x
  3. Step 3: Cross multiply
    3,720.96x = 5,581.43 × 1,767.24
  4. Step 4: Simplify right side
    3,720.96x = 9,863,702.86
  5. Step 5: Solve for x
    x = 9,863,702.86/3,720.96
  6. Step 6: Final answer
    x = 2,650.85

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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.