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Finding the Fourth Proportional to 3,950.88, 5,922.80 and 2,002.08

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Solution

The fourth proportional to 3,950.88, 5,922.80 and 2,002.08 is: 3,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.88 : 5,922.80 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    3,950.88/5,922.80 = 2,002.08/x
  3. Step 3: Cross multiply
    3,950.88x = 5,922.80 × 2,002.08
  4. Step 4: Simplify right side
    3,950.88x = 11,857,919.42
  5. Step 5: Solve for x
    x = 11,857,919.42/3,950.88
  6. Step 6: Final answer
    x = 3,001.34

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