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Finding the Fourth Proportional to 4,921.65, 6,789.87 and 3,006.48

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Solution

The fourth proportional to 4,921.65, 6,789.87 and 3,006.48 is: 4,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.65 : 6,789.87 = 3,006.48 : x
  2. Step 2: Convert to fraction form
    4,921.65/6,789.87 = 3,006.48/x
  3. Step 3: Cross multiply
    4,921.65x = 6,789.87 × 3,006.48
  4. Step 4: Simplify right side
    4,921.65x = 20,413,608.36
  5. Step 5: Solve for x
    x = 20,413,608.36/4,921.65
  6. Step 6: Final answer
    x = 4,147.72

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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.