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Finding the Fourth Proportional to 3,866.37, 5,799.55 and 1,401.18

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Solution

The fourth proportional to 3,866.37, 5,799.55 and 1,401.18 is: 2,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.37 : 5,799.55 = 1,401.18 : x
  2. Step 2: Convert to fraction form
    3,866.37/5,799.55 = 1,401.18/x
  3. Step 3: Cross multiply
    3,866.37x = 5,799.55 × 1,401.18
  4. Step 4: Simplify right side
    3,866.37x = 8,126,227.97
  5. Step 5: Solve for x
    x = 8,126,227.97/3,866.37
  6. Step 6: Final answer
    x = 2,101.77

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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.