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Finding the Fourth Proportional to 3,375.14, 5,062.28 and 1,427.09

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Solution

The fourth proportional to 3,375.14, 5,062.28 and 1,427.09 is: 2,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.14 : 5,062.28 = 1,427.09 : x
  2. Step 2: Convert to fraction form
    3,375.14/5,062.28 = 1,427.09/x
  3. Step 3: Cross multiply
    3,375.14x = 5,062.28 × 1,427.09
  4. Step 4: Simplify right side
    3,375.14x = 7,224,296.72
  5. Step 5: Solve for x
    x = 7,224,296.72/3,375.14
  6. Step 6: Final answer
    x = 2,140.45

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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.