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Finding the Fourth Proportional to 4,764.44, 7,146.69 and 2,167.58

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Solution

The fourth proportional to 4,764.44, 7,146.69 and 2,167.58 is: 3,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.44 : 7,146.69 = 2,167.58 : x
  2. Step 2: Convert to fraction form
    4,764.44/7,146.69 = 2,167.58/x
  3. Step 3: Cross multiply
    4,764.44x = 7,146.69 × 2,167.58
  4. Step 4: Simplify right side
    4,764.44x = 15,491,022.31
  5. Step 5: Solve for x
    x = 15,491,022.31/4,764.44
  6. Step 6: Final answer
    x = 3,251.38

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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.