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Finding the Fourth Proportional to 5,964.24, 8,232.14 and 3,447.81

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Solution

The fourth proportional to 5,964.24, 8,232.14 and 3,447.81 is: 4,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.24 : 8,232.14 = 3,447.81 : x
  2. Step 2: Convert to fraction form
    5,964.24/8,232.14 = 3,447.81/x
  3. Step 3: Cross multiply
    5,964.24x = 8,232.14 × 3,447.81
  4. Step 4: Simplify right side
    5,964.24x = 28,382,854.61
  5. Step 5: Solve for x
    x = 28,382,854.61/5,964.24
  6. Step 6: Final answer
    x = 4,758.84

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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.