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Finding the Fourth Proportional to 3,992.95, 5,981.41 and 2,410.76

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Solution

The fourth proportional to 3,992.95, 5,981.41 and 2,410.76 is: 3,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.95 : 5,981.41 = 2,410.76 : x
  2. Step 2: Convert to fraction form
    3,992.95/5,981.41 = 2,410.76/x
  3. Step 3: Cross multiply
    3,992.95x = 5,981.41 × 2,410.76
  4. Step 4: Simplify right side
    3,992.95x = 14,419,743.97
  5. Step 5: Solve for x
    x = 14,419,743.97/3,992.95
  6. Step 6: Final answer
    x = 3,611.30

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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.