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Finding the Fourth Proportional to 3,927.99, 5,895.38 and 2,080.42

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Solution

The fourth proportional to 3,927.99, 5,895.38 and 2,080.42 is: 3,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.99 : 5,895.38 = 2,080.42 : x
  2. Step 2: Convert to fraction form
    3,927.99/5,895.38 = 2,080.42/x
  3. Step 3: Cross multiply
    3,927.99x = 5,895.38 × 2,080.42
  4. Step 4: Simplify right side
    3,927.99x = 12,264,856.92
  5. Step 5: Solve for x
    x = 12,264,856.92/3,927.99
  6. Step 6: Final answer
    x = 3,122.42

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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.