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Finding the Fourth Proportional to 4,694.73, 6,478.76 and 2,650.65

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Solution

The fourth proportional to 4,694.73, 6,478.76 and 2,650.65 is: 3,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.73 : 6,478.76 = 2,650.65 : x
  2. Step 2: Convert to fraction form
    4,694.73/6,478.76 = 2,650.65/x
  3. Step 3: Cross multiply
    4,694.73x = 6,478.76 × 2,650.65
  4. Step 4: Simplify right side
    4,694.73x = 17,172,918.29
  5. Step 5: Solve for x
    x = 17,172,918.29/4,694.73
  6. Step 6: Final answer
    x = 3,657.91

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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.