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Finding the Fourth Proportional to 3,863.34, 5,795.10 and 1,266.12

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Solution

The fourth proportional to 3,863.34, 5,795.10 and 1,266.12 is: 1,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.34 : 5,795.10 = 1,266.12 : x
  2. Step 2: Convert to fraction form
    3,863.34/5,795.10 = 1,266.12/x
  3. Step 3: Cross multiply
    3,863.34x = 5,795.10 × 1,266.12
  4. Step 4: Simplify right side
    3,863.34x = 7,337,292.01
  5. Step 5: Solve for x
    x = 7,337,292.01/3,863.34
  6. Step 6: Final answer
    x = 1,899.21

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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.