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Finding the Fourth Proportional to 4,327, 6,484.42 and 2,867.16

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Solution

The fourth proportional to 4,327, 6,484.42 and 2,867.16 is: 4,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327 : 6,484.42 = 2,867.16 : x
  2. Step 2: Convert to fraction form
    4,327/6,484.42 = 2,867.16/x
  3. Step 3: Cross multiply
    4,327x = 6,484.42 × 2,867.16
  4. Step 4: Simplify right side
    4,327x = 18,591,869.65
  5. Step 5: Solve for x
    x = 18,591,869.65/4,327
  6. Step 6: Final answer
    x = 4,296.71

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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.