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Finding the Fourth Proportional to 3,765.17, 5,647.81 and 1,426.26

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Solution

The fourth proportional to 3,765.17, 5,647.81 and 1,426.26 is: 2,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.17 : 5,647.81 = 1,426.26 : x
  2. Step 2: Convert to fraction form
    3,765.17/5,647.81 = 1,426.26/x
  3. Step 3: Cross multiply
    3,765.17x = 5,647.81 × 1,426.26
  4. Step 4: Simplify right side
    3,765.17x = 8,055,240.03
  5. Step 5: Solve for x
    x = 8,055,240.03/3,765.17
  6. Step 6: Final answer
    x = 2,139.41

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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.