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Finding the Fourth Proportional to 5,107.25, 7,048.01 and 2,869.12

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Solution

The fourth proportional to 5,107.25, 7,048.01 and 2,869.12 is: 3,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.25 : 7,048.01 = 2,869.12 : x
  2. Step 2: Convert to fraction form
    5,107.25/7,048.01 = 2,869.12/x
  3. Step 3: Cross multiply
    5,107.25x = 7,048.01 × 2,869.12
  4. Step 4: Simplify right side
    5,107.25x = 20,221,584.28
  5. Step 5: Solve for x
    x = 20,221,584.28/5,107.25
  6. Step 6: Final answer
    x = 3,959.39

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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.