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Finding the Fourth Proportional to 6,799.40, 10,207.20 and 3,840.20

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Solution

The fourth proportional to 6,799.40, 10,207.20 and 3,840.20 is: 5,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.40 : 10,207.20 = 3,840.20 : x
  2. Step 2: Convert to fraction form
    6,799.40/10,207.20 = 3,840.20/x
  3. Step 3: Cross multiply
    6,799.40x = 10,207.20 × 3,840.20
  4. Step 4: Simplify right side
    6,799.40x = 39,197,689.44
  5. Step 5: Solve for x
    x = 39,197,689.44/6,799.40
  6. Step 6: Final answer
    x = 5,764.87

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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.