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Finding the Fourth Proportional to 4,988.38, 6,884.16 and 2,999.82

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Solution

The fourth proportional to 4,988.38, 6,884.16 and 2,999.82 is: 4,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988.38 : 6,884.16 = 2,999.82 : x
  2. Step 2: Convert to fraction form
    4,988.38/6,884.16 = 2,999.82/x
  3. Step 3: Cross multiply
    4,988.38x = 6,884.16 × 2,999.82
  4. Step 4: Simplify right side
    4,988.38x = 20,651,240.85
  5. Step 5: Solve for x
    x = 20,651,240.85/4,988.38
  6. Step 6: Final answer
    x = 4,139.87

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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.