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Finding the Fourth Proportional to 3,977.52, 5,965.06 and 1,896.42

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Solution

The fourth proportional to 3,977.52, 5,965.06 and 1,896.42 is: 2,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.52 : 5,965.06 = 1,896.42 : x
  2. Step 2: Convert to fraction form
    3,977.52/5,965.06 = 1,896.42/x
  3. Step 3: Cross multiply
    3,977.52x = 5,965.06 × 1,896.42
  4. Step 4: Simplify right side
    3,977.52x = 11,312,259.09
  5. Step 5: Solve for x
    x = 11,312,259.09/3,977.52
  6. Step 6: Final answer
    x = 2,844.05

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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.