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Finding the Fourth Proportional to 4,791.67, 6,609.81 and 2,877

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Solution

The fourth proportional to 4,791.67, 6,609.81 and 2,877 is: 3,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.67 : 6,609.81 = 2,877 : x
  2. Step 2: Convert to fraction form
    4,791.67/6,609.81 = 2,877/x
  3. Step 3: Cross multiply
    4,791.67x = 6,609.81 × 2,877
  4. Step 4: Simplify right side
    4,791.67x = 19,016,423.37
  5. Step 5: Solve for x
    x = 19,016,423.37/4,791.67
  6. Step 6: Final answer
    x = 3,968.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.