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Finding the Fourth Proportional to 3,427.42, 5,138.82 and 1,866.10

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Solution

The fourth proportional to 3,427.42, 5,138.82 and 1,866.10 is: 2,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.42 : 5,138.82 = 1,866.10 : x
  2. Step 2: Convert to fraction form
    3,427.42/5,138.82 = 1,866.10/x
  3. Step 3: Cross multiply
    3,427.42x = 5,138.82 × 1,866.10
  4. Step 4: Simplify right side
    3,427.42x = 9,589,552.00
  5. Step 5: Solve for x
    x = 9,589,552.00/3,427.42
  6. Step 6: Final answer
    x = 2,797.89

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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.