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Finding the Fourth Proportional to 3,850.26, 5,770.06 and 2,203.32

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Solution

The fourth proportional to 3,850.26, 5,770.06 and 2,203.32 is: 3,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.26 : 5,770.06 = 2,203.32 : x
  2. Step 2: Convert to fraction form
    3,850.26/5,770.06 = 2,203.32/x
  3. Step 3: Cross multiply
    3,850.26x = 5,770.06 × 2,203.32
  4. Step 4: Simplify right side
    3,850.26x = 12,713,288.60
  5. Step 5: Solve for x
    x = 12,713,288.60/3,850.26
  6. Step 6: Final answer
    x = 3,301.93

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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.