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Finding the Fourth Proportional to 4,155.38, 5,734.34 and 2,266.97

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Solution

The fourth proportional to 4,155.38, 5,734.34 and 2,266.97 is: 3,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.38 : 5,734.34 = 2,266.97 : x
  2. Step 2: Convert to fraction form
    4,155.38/5,734.34 = 2,266.97/x
  3. Step 3: Cross multiply
    4,155.38x = 5,734.34 × 2,266.97
  4. Step 4: Simplify right side
    4,155.38x = 12,999,536.74
  5. Step 5: Solve for x
    x = 12,999,536.74/4,155.38
  6. Step 6: Final answer
    x = 3,128.37

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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.