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Finding the Fourth Proportional to 3,376.62, 5,064.86 and 1,427.49

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Solution

The fourth proportional to 3,376.62, 5,064.86 and 1,427.49 is: 2,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.62 : 5,064.86 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    3,376.62/5,064.86 = 1,427.49/x
  3. Step 3: Cross multiply
    3,376.62x = 5,064.86 × 1,427.49
  4. Step 4: Simplify right side
    3,376.62x = 7,230,040.57
  5. Step 5: Solve for x
    x = 7,230,040.57/3,376.62
  6. Step 6: Final answer
    x = 2,141.21

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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.