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Finding the Fourth Proportional to 4,867.62, 6,716.43 and 2,771.34

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Solution

The fourth proportional to 4,867.62, 6,716.43 and 2,771.34 is: 3,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.62 : 6,716.43 = 2,771.34 : x
  2. Step 2: Convert to fraction form
    4,867.62/6,716.43 = 2,771.34/x
  3. Step 3: Cross multiply
    4,867.62x = 6,716.43 × 2,771.34
  4. Step 4: Simplify right side
    4,867.62x = 18,613,511.12
  5. Step 5: Solve for x
    x = 18,613,511.12/4,867.62
  6. Step 6: Final answer
    x = 3,823.94

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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.