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Finding the Fourth Proportional to 5,463.76, 8,195.76 and 2,001

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Solution

The fourth proportional to 5,463.76, 8,195.76 and 2,001 is: 3,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.76 : 8,195.76 = 2,001 : x
  2. Step 2: Convert to fraction form
    5,463.76/8,195.76 = 2,001/x
  3. Step 3: Cross multiply
    5,463.76x = 8,195.76 × 2,001
  4. Step 4: Simplify right side
    5,463.76x = 16,399,715.76
  5. Step 5: Solve for x
    x = 16,399,715.76/5,463.76
  6. Step 6: Final answer
    x = 3,001.54

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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.