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Finding the Fourth Proportional to 3,855.87, 5,320.99 and 2,177.43

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Solution

The fourth proportional to 3,855.87, 5,320.99 and 2,177.43 is: 3,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.87 : 5,320.99 = 2,177.43 : x
  2. Step 2: Convert to fraction form
    3,855.87/5,320.99 = 2,177.43/x
  3. Step 3: Cross multiply
    3,855.87x = 5,320.99 × 2,177.43
  4. Step 4: Simplify right side
    3,855.87x = 11,586,083.26
  5. Step 5: Solve for x
    x = 11,586,083.26/3,855.87
  6. Step 6: Final answer
    x = 3,004.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.