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Finding the Fourth Proportional to 3,950.02, 5,922.87 and 2,101.87

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Solution

The fourth proportional to 3,950.02, 5,922.87 and 2,101.87 is: 3,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.02 : 5,922.87 = 2,101.87 : x
  2. Step 2: Convert to fraction form
    3,950.02/5,922.87 = 2,101.87/x
  3. Step 3: Cross multiply
    3,950.02x = 5,922.87 × 2,101.87
  4. Step 4: Simplify right side
    3,950.02x = 12,449,102.77
  5. Step 5: Solve for x
    x = 12,449,102.77/3,950.02
  6. Step 6: Final answer
    x = 3,151.66

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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.