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Finding the Fourth Proportional to 3,965.88, 5,949.34 and 1,856.04

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Solution

The fourth proportional to 3,965.88, 5,949.34 and 1,856.04 is: 2,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.88 : 5,949.34 = 1,856.04 : x
  2. Step 2: Convert to fraction form
    3,965.88/5,949.34 = 1,856.04/x
  3. Step 3: Cross multiply
    3,965.88x = 5,949.34 × 1,856.04
  4. Step 4: Simplify right side
    3,965.88x = 11,042,213.01
  5. Step 5: Solve for x
    x = 11,042,213.01/3,965.88
  6. Step 6: Final answer
    x = 2,784.30

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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.