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Finding the Fourth Proportional to 5,091.76, 7,027.12 and 2,854.01

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Solution

The fourth proportional to 5,091.76, 7,027.12 and 2,854.01 is: 3,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.76 : 7,027.12 = 2,854.01 : x
  2. Step 2: Convert to fraction form
    5,091.76/7,027.12 = 2,854.01/x
  3. Step 3: Cross multiply
    5,091.76x = 7,027.12 × 2,854.01
  4. Step 4: Simplify right side
    5,091.76x = 20,055,470.75
  5. Step 5: Solve for x
    x = 20,055,470.75/5,091.76
  6. Step 6: Final answer
    x = 3,938.81

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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.