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Finding the Fourth Proportional to 3,691.42, 5,525.04 and 2,023

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Solution

The fourth proportional to 3,691.42, 5,525.04 and 2,023 is: 3,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.42 : 5,525.04 = 2,023 : x
  2. Step 2: Convert to fraction form
    3,691.42/5,525.04 = 2,023/x
  3. Step 3: Cross multiply
    3,691.42x = 5,525.04 × 2,023
  4. Step 4: Simplify right side
    3,691.42x = 11,177,155.92
  5. Step 5: Solve for x
    x = 11,177,155.92/3,691.42
  6. Step 6: Final answer
    x = 3,027.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.