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Finding the Fourth Proportional to 4,882.96, 7,327.17 and 1,963.31

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Solution

The fourth proportional to 4,882.96, 7,327.17 and 1,963.31 is: 2,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.96 : 7,327.17 = 1,963.31 : x
  2. Step 2: Convert to fraction form
    4,882.96/7,327.17 = 1,963.31/x
  3. Step 3: Cross multiply
    4,882.96x = 7,327.17 × 1,963.31
  4. Step 4: Simplify right side
    4,882.96x = 14,385,524.45
  5. Step 5: Solve for x
    x = 14,385,524.45/4,882.96
  6. Step 6: Final answer
    x = 2,946.07

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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.