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Finding the Fourth Proportional to 3,869.77, 5,340.22 and 2,168.25

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Solution

The fourth proportional to 3,869.77, 5,340.22 and 2,168.25 is: 2,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.77 : 5,340.22 = 2,168.25 : x
  2. Step 2: Convert to fraction form
    3,869.77/5,340.22 = 2,168.25/x
  3. Step 3: Cross multiply
    3,869.77x = 5,340.22 × 2,168.25
  4. Step 4: Simplify right side
    3,869.77x = 11,578,932.02
  5. Step 5: Solve for x
    x = 11,578,932.02/3,869.77
  6. Step 6: Final answer
    x = 2,992.15

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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.