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Finding the Fourth Proportional to 3,850.39, 5,761.23 and 2,291.23

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Solution

The fourth proportional to 3,850.39, 5,761.23 and 2,291.23 is: 3,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.39 : 5,761.23 = 2,291.23 : x
  2. Step 2: Convert to fraction form
    3,850.39/5,761.23 = 2,291.23/x
  3. Step 3: Cross multiply
    3,850.39x = 5,761.23 × 2,291.23
  4. Step 4: Simplify right side
    3,850.39x = 13,200,303.01
  5. Step 5: Solve for x
    x = 13,200,303.01/3,850.39
  6. Step 6: Final answer
    x = 3,428.30

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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.