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Finding the Fourth Proportional to 3,023.38, 4,162.71 and 2,746.55

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Solution

The fourth proportional to 3,023.38, 4,162.71 and 2,746.55 is: 3,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.38 : 4,162.71 = 2,746.55 : x
  2. Step 2: Convert to fraction form
    3,023.38/4,162.71 = 2,746.55/x
  3. Step 3: Cross multiply
    3,023.38x = 4,162.71 × 2,746.55
  4. Step 4: Simplify right side
    3,023.38x = 11,433,091.15
  5. Step 5: Solve for x
    x = 11,433,091.15/3,023.38
  6. Step 6: Final answer
    x = 3,781.57

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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.