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Finding the Fourth Proportional to 6,251.75, 9,379.20 and 1,869.20

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Solution

The fourth proportional to 6,251.75, 9,379.20 and 1,869.20 is: 2,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.75 : 9,379.20 = 1,869.20 : x
  2. Step 2: Convert to fraction form
    6,251.75/9,379.20 = 1,869.20/x
  3. Step 3: Cross multiply
    6,251.75x = 9,379.20 × 1,869.20
  4. Step 4: Simplify right side
    6,251.75x = 17,531,600.64
  5. Step 5: Solve for x
    x = 17,531,600.64/6,251.75
  6. Step 6: Final answer
    x = 2,804.27

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Why These Related Problems?

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