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Finding the Fourth Proportional to 4,775.97, 7,162.74 and 2,142

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Solution

The fourth proportional to 4,775.97, 7,162.74 and 2,142 is: 3,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.97 : 7,162.74 = 2,142 : x
  2. Step 2: Convert to fraction form
    4,775.97/7,162.74 = 2,142/x
  3. Step 3: Cross multiply
    4,775.97x = 7,162.74 × 2,142
  4. Step 4: Simplify right side
    4,775.97x = 15,342,589.08
  5. Step 5: Solve for x
    x = 15,342,589.08/4,775.97
  6. Step 6: Final answer
    x = 3,212.46

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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.