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Finding the Fourth Proportional to 3,567.72, 4,922.34 and 2,169.96

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Solution

The fourth proportional to 3,567.72, 4,922.34 and 2,169.96 is: 2,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.72 : 4,922.34 = 2,169.96 : x
  2. Step 2: Convert to fraction form
    3,567.72/4,922.34 = 2,169.96/x
  3. Step 3: Cross multiply
    3,567.72x = 4,922.34 × 2,169.96
  4. Step 4: Simplify right side
    3,567.72x = 10,681,280.91
  5. Step 5: Solve for x
    x = 10,681,280.91/3,567.72
  6. Step 6: Final answer
    x = 2,993.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.