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Finding the Fourth Proportional to 3,179.71, 4,768.35 and 2,632.96

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Solution

The fourth proportional to 3,179.71, 4,768.35 and 2,632.96 is: 3,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.71 : 4,768.35 = 2,632.96 : x
  2. Step 2: Convert to fraction form
    3,179.71/4,768.35 = 2,632.96/x
  3. Step 3: Cross multiply
    3,179.71x = 4,768.35 × 2,632.96
  4. Step 4: Simplify right side
    3,179.71x = 12,554,874.82
  5. Step 5: Solve for x
    x = 12,554,874.82/3,179.71
  6. Step 6: Final answer
    x = 3,948.43

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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.