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Finding the Fourth Proportional to 3,847.34, 5,765.13 and 2,284.26

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Solution

The fourth proportional to 3,847.34, 5,765.13 and 2,284.26 is: 3,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.34 : 5,765.13 = 2,284.26 : x
  2. Step 2: Convert to fraction form
    3,847.34/5,765.13 = 2,284.26/x
  3. Step 3: Cross multiply
    3,847.34x = 5,765.13 × 2,284.26
  4. Step 4: Simplify right side
    3,847.34x = 13,169,055.85
  5. Step 5: Solve for x
    x = 13,169,055.85/3,847.34
  6. Step 6: Final answer
    x = 3,422.90

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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.