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Finding the Fourth Proportional to 3,863.48, 5,796.14 and 1,266.36

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Solution

The fourth proportional to 3,863.48, 5,796.14 and 1,266.36 is: 1,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.48 : 5,796.14 = 1,266.36 : x
  2. Step 2: Convert to fraction form
    3,863.48/5,796.14 = 1,266.36/x
  3. Step 3: Cross multiply
    3,863.48x = 5,796.14 × 1,266.36
  4. Step 4: Simplify right side
    3,863.48x = 7,339,999.85
  5. Step 5: Solve for x
    x = 7,339,999.85/3,863.48
  6. Step 6: Final answer
    x = 1,899.84

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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.