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Finding the Fourth Proportional to 4,299.05, 6,447.49 and 1,665.65

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Solution

The fourth proportional to 4,299.05, 6,447.49 and 1,665.65 is: 2,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.05 : 6,447.49 = 1,665.65 : x
  2. Step 2: Convert to fraction form
    4,299.05/6,447.49 = 1,665.65/x
  3. Step 3: Cross multiply
    4,299.05x = 6,447.49 × 1,665.65
  4. Step 4: Simplify right side
    4,299.05x = 10,739,272.80
  5. Step 5: Solve for x
    x = 10,739,272.80/4,299.05
  6. Step 6: Final answer
    x = 2,498.06

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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.