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Finding the Fourth Proportional to 5,250.33, 7,878.24 and 3,400.97

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Solution

The fourth proportional to 5,250.33, 7,878.24 and 3,400.97 is: 5,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.33 : 7,878.24 = 3,400.97 : x
  2. Step 2: Convert to fraction form
    5,250.33/7,878.24 = 3,400.97/x
  3. Step 3: Cross multiply
    5,250.33x = 7,878.24 × 3,400.97
  4. Step 4: Simplify right side
    5,250.33x = 26,793,618.50
  5. Step 5: Solve for x
    x = 26,793,618.50/5,250.33
  6. Step 6: Final answer
    x = 5,103.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.