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Finding the Fourth Proportional to 3,871.20, 5,805.06 and 1,238.22

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Solution

The fourth proportional to 3,871.20, 5,805.06 and 1,238.22 is: 1,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.20 : 5,805.06 = 1,238.22 : x
  2. Step 2: Convert to fraction form
    3,871.20/5,805.06 = 1,238.22/x
  3. Step 3: Cross multiply
    3,871.20x = 5,805.06 × 1,238.22
  4. Step 4: Simplify right side
    3,871.20x = 7,187,941.39
  5. Step 5: Solve for x
    x = 7,187,941.39/3,871.20
  6. Step 6: Final answer
    x = 1,856.77

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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.