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Finding the Fourth Proportional to 4,138.82, 6,209.10 and 1,216.88

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Solution

The fourth proportional to 4,138.82, 6,209.10 and 1,216.88 is: 1,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.82 : 6,209.10 = 1,216.88 : x
  2. Step 2: Convert to fraction form
    4,138.82/6,209.10 = 1,216.88/x
  3. Step 3: Cross multiply
    4,138.82x = 6,209.10 × 1,216.88
  4. Step 4: Simplify right side
    4,138.82x = 7,555,729.61
  5. Step 5: Solve for x
    x = 7,555,729.61/4,138.82
  6. Step 6: Final answer
    x = 1,825.58

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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.