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Finding the Fourth Proportional to 6,238.30, 8,609.80 and 3,881.20

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Solution

The fourth proportional to 6,238.30, 8,609.80 and 3,881.20 is: 5,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.30 : 8,609.80 = 3,881.20 : x
  2. Step 2: Convert to fraction form
    6,238.30/8,609.80 = 3,881.20/x
  3. Step 3: Cross multiply
    6,238.30x = 8,609.80 × 3,881.20
  4. Step 4: Simplify right side
    6,238.30x = 33,416,355.76
  5. Step 5: Solve for x
    x = 33,416,355.76/6,238.30
  6. Step 6: Final answer
    x = 5,356.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.