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Finding the Fourth Proportional to 4,114.03, 5,675.92 and 2,854.75

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Solution

The fourth proportional to 4,114.03, 5,675.92 and 2,854.75 is: 3,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.03 : 5,675.92 = 2,854.75 : x
  2. Step 2: Convert to fraction form
    4,114.03/5,675.92 = 2,854.75/x
  3. Step 3: Cross multiply
    4,114.03x = 5,675.92 × 2,854.75
  4. Step 4: Simplify right side
    4,114.03x = 16,203,332.62
  5. Step 5: Solve for x
    x = 16,203,332.62/4,114.03
  6. Step 6: Final answer
    x = 3,938.55

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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.