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Finding the Fourth Proportional to 5,106.26, 7,046.48 and 2,868.38

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Solution

The fourth proportional to 5,106.26, 7,046.48 and 2,868.38 is: 3,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.26 : 7,046.48 = 2,868.38 : x
  2. Step 2: Convert to fraction form
    5,106.26/7,046.48 = 2,868.38/x
  3. Step 3: Cross multiply
    5,106.26x = 7,046.48 × 2,868.38
  4. Step 4: Simplify right side
    5,106.26x = 20,211,982.30
  5. Step 5: Solve for x
    x = 20,211,982.30/5,106.26
  6. Step 6: Final answer
    x = 3,958.28

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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.