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Finding the Fourth Proportional to 4,180.55, 5,769.19 and 2,854.22

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Solution

The fourth proportional to 4,180.55, 5,769.19 and 2,854.22 is: 3,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.55 : 5,769.19 = 2,854.22 : x
  2. Step 2: Convert to fraction form
    4,180.55/5,769.19 = 2,854.22/x
  3. Step 3: Cross multiply
    4,180.55x = 5,769.19 × 2,854.22
  4. Step 4: Simplify right side
    4,180.55x = 16,466,515.92
  5. Step 5: Solve for x
    x = 16,466,515.92/4,180.55
  6. Step 6: Final answer
    x = 3,938.84

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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.