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Finding the Fourth Proportional to 4,889.68, 6,747.63 and 2,974.78

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Solution

The fourth proportional to 4,889.68, 6,747.63 and 2,974.78 is: 4,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.68 : 6,747.63 = 2,974.78 : x
  2. Step 2: Convert to fraction form
    4,889.68/6,747.63 = 2,974.78/x
  3. Step 3: Cross multiply
    4,889.68x = 6,747.63 × 2,974.78
  4. Step 4: Simplify right side
    4,889.68x = 20,072,751.94
  5. Step 5: Solve for x
    x = 20,072,751.94/4,889.68
  6. Step 6: Final answer
    x = 4,105.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.