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Finding the Fourth Proportional to 4,676.96, 6,453.71 and 2,884.17

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Solution

The fourth proportional to 4,676.96, 6,453.71 and 2,884.17 is: 3,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.96 : 6,453.71 = 2,884.17 : x
  2. Step 2: Convert to fraction form
    4,676.96/6,453.71 = 2,884.17/x
  3. Step 3: Cross multiply
    4,676.96x = 6,453.71 × 2,884.17
  4. Step 4: Simplify right side
    4,676.96x = 18,613,582.35
  5. Step 5: Solve for x
    x = 18,613,582.35/4,676.96
  6. Step 6: Final answer
    x = 3,979.85

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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.