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Finding the Fourth Proportional to 3,375.12, 5,062.26 and 1,427.07

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Solution

The fourth proportional to 3,375.12, 5,062.26 and 1,427.07 is: 2,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.12 : 5,062.26 = 1,427.07 : x
  2. Step 2: Convert to fraction form
    3,375.12/5,062.26 = 1,427.07/x
  3. Step 3: Cross multiply
    3,375.12x = 5,062.26 × 1,427.07
  4. Step 4: Simplify right side
    3,375.12x = 7,224,199.38
  5. Step 5: Solve for x
    x = 7,224,199.38/3,375.12
  6. Step 6: Final answer
    x = 2,140.43

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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.