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Finding the Fourth Proportional to 3,471.76, 4,791.02 and 2,074.52

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Solution

The fourth proportional to 3,471.76, 4,791.02 and 2,074.52 is: 2,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.76 : 4,791.02 = 2,074.52 : x
  2. Step 2: Convert to fraction form
    3,471.76/4,791.02 = 2,074.52/x
  3. Step 3: Cross multiply
    3,471.76x = 4,791.02 × 2,074.52
  4. Step 4: Simplify right side
    3,471.76x = 9,939,066.81
  5. Step 5: Solve for x
    x = 9,939,066.81/3,471.76
  6. Step 6: Final answer
    x = 2,862.83

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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.