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Finding the Fourth Proportional to 5,083.88, 7,007.38 and 3,404.68

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Solution

The fourth proportional to 5,083.88, 7,007.38 and 3,404.68 is: 4,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.88 : 7,007.38 = 3,404.68 : x
  2. Step 2: Convert to fraction form
    5,083.88/7,007.38 = 3,404.68/x
  3. Step 3: Cross multiply
    5,083.88x = 7,007.38 × 3,404.68
  4. Step 4: Simplify right side
    5,083.88x = 23,857,886.54
  5. Step 5: Solve for x
    x = 23,857,886.54/5,083.88
  6. Step 6: Final answer
    x = 4,692.85

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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.