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Finding the Fourth Proportional to 3,401.87, 5,103.25 and 1,427.18

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Solution

The fourth proportional to 3,401.87, 5,103.25 and 1,427.18 is: 2,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.87 : 5,103.25 = 1,427.18 : x
  2. Step 2: Convert to fraction form
    3,401.87/5,103.25 = 1,427.18/x
  3. Step 3: Cross multiply
    3,401.87x = 5,103.25 × 1,427.18
  4. Step 4: Simplify right side
    3,401.87x = 7,283,227.25
  5. Step 5: Solve for x
    x = 7,283,227.25/3,401.87
  6. Step 6: Final answer
    x = 2,140.95

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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.