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Finding the Fourth Proportional to 3,679.24, 5,077.14 and 2,023.24

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Solution

The fourth proportional to 3,679.24, 5,077.14 and 2,023.24 is: 2,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.24 : 5,077.14 = 2,023.24 : x
  2. Step 2: Convert to fraction form
    3,679.24/5,077.14 = 2,023.24/x
  3. Step 3: Cross multiply
    3,679.24x = 5,077.14 × 2,023.24
  4. Step 4: Simplify right side
    3,679.24x = 10,272,272.73
  5. Step 5: Solve for x
    x = 10,272,272.73/3,679.24
  6. Step 6: Final answer
    x = 2,791.96

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1.5x scale

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.