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Finding the Fourth Proportional to 3,926.06, 5,418.00 and 2,157.71

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Solution

The fourth proportional to 3,926.06, 5,418.00 and 2,157.71 is: 2,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.06 : 5,418.00 = 2,157.71 : x
  2. Step 2: Convert to fraction form
    3,926.06/5,418.00 = 2,157.71/x
  3. Step 3: Cross multiply
    3,926.06x = 5,418.00 × 2,157.71
  4. Step 4: Simplify right side
    3,926.06x = 11,690,434.90
  5. Step 5: Solve for x
    x = 11,690,434.90/3,926.06
  6. Step 6: Final answer
    x = 2,977.65

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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.