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Finding the Fourth Proportional to 5,046.26, 6,963.89 and 2,808.23

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Solution

The fourth proportional to 5,046.26, 6,963.89 and 2,808.23 is: 3,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.26 : 6,963.89 = 2,808.23 : x
  2. Step 2: Convert to fraction form
    5,046.26/6,963.89 = 2,808.23/x
  3. Step 3: Cross multiply
    5,046.26x = 6,963.89 × 2,808.23
  4. Step 4: Simplify right side
    5,046.26x = 19,556,195.13
  5. Step 5: Solve for x
    x = 19,556,195.13/5,046.26
  6. Step 6: Final answer
    x = 3,875.38

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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.