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Finding the Fourth Proportional to 3,419.58, 5,127.41 and 2,033.88

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Solution

The fourth proportional to 3,419.58, 5,127.41 and 2,033.88 is: 3,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.58 : 5,127.41 = 2,033.88 : x
  2. Step 2: Convert to fraction form
    3,419.58/5,127.41 = 2,033.88/x
  3. Step 3: Cross multiply
    3,419.58x = 5,127.41 × 2,033.88
  4. Step 4: Simplify right side
    3,419.58x = 10,428,560.96
  5. Step 5: Solve for x
    x = 10,428,560.96/3,419.58
  6. Step 6: Final answer
    x = 3,049.66

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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.