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Finding the Fourth Proportional to 3,967.68, 5,944.17 and 2,869.32

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Solution

The fourth proportional to 3,967.68, 5,944.17 and 2,869.32 is: 4,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.68 : 5,944.17 = 2,869.32 : x
  2. Step 2: Convert to fraction form
    3,967.68/5,944.17 = 2,869.32/x
  3. Step 3: Cross multiply
    3,967.68x = 5,944.17 × 2,869.32
  4. Step 4: Simplify right side
    3,967.68x = 17,055,725.86
  5. Step 5: Solve for x
    x = 17,055,725.86/3,967.68
  6. Step 6: Final answer
    x = 4,298.66

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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.