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Finding the Fourth Proportional to 3,427.58, 5,134.41 and 2,735.42

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Solution

The fourth proportional to 3,427.58, 5,134.41 and 2,735.42 is: 4,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.58 : 5,134.41 = 2,735.42 : x
  2. Step 2: Convert to fraction form
    3,427.58/5,134.41 = 2,735.42/x
  3. Step 3: Cross multiply
    3,427.58x = 5,134.41 × 2,735.42
  4. Step 4: Simplify right side
    3,427.58x = 14,044,767.80
  5. Step 5: Solve for x
    x = 14,044,767.80/3,427.58
  6. Step 6: Final answer
    x = 4,097.58

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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.