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Finding the Fourth Proportional to 3,051.17, 4,229.87 and 2,884.87

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Solution

The fourth proportional to 3,051.17, 4,229.87 and 2,884.87 is: 3,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.17 : 4,229.87 = 2,884.87 : x
  2. Step 2: Convert to fraction form
    3,051.17/4,229.87 = 2,884.87/x
  3. Step 3: Cross multiply
    3,051.17x = 4,229.87 × 2,884.87
  4. Step 4: Simplify right side
    3,051.17x = 12,202,608.36
  5. Step 5: Solve for x
    x = 12,202,608.36/3,051.17
  6. Step 6: Final answer
    x = 3,999.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.