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Finding the Fourth Proportional to 4,147.63, 5,721.80 and 2,468.09

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Solution

The fourth proportional to 4,147.63, 5,721.80 and 2,468.09 is: 3,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.63 : 5,721.80 = 2,468.09 : x
  2. Step 2: Convert to fraction form
    4,147.63/5,721.80 = 2,468.09/x
  3. Step 3: Cross multiply
    4,147.63x = 5,721.80 × 2,468.09
  4. Step 4: Simplify right side
    4,147.63x = 14,121,919.33
  5. Step 5: Solve for x
    x = 14,121,919.33/4,147.63
  6. Step 6: Final answer
    x = 3,404.82

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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.