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Finding the Fourth Proportional to 4,672.42, 6,447.67 and 2,786.14

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Solution

The fourth proportional to 4,672.42, 6,447.67 and 2,786.14 is: 3,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.42 : 6,447.67 = 2,786.14 : x
  2. Step 2: Convert to fraction form
    4,672.42/6,447.67 = 2,786.14/x
  3. Step 3: Cross multiply
    4,672.42x = 6,447.67 × 2,786.14
  4. Step 4: Simplify right side
    4,672.42x = 17,964,111.29
  5. Step 5: Solve for x
    x = 17,964,111.29/4,672.42
  6. Step 6: Final answer
    x = 3,844.71

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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.