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Finding the Fourth Proportional to 3,839.82, 5,760.09 and 1,531.50

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Solution

The fourth proportional to 3,839.82, 5,760.09 and 1,531.50 is: 2,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.82 : 5,760.09 = 1,531.50 : x
  2. Step 2: Convert to fraction form
    3,839.82/5,760.09 = 1,531.50/x
  3. Step 3: Cross multiply
    3,839.82x = 5,760.09 × 1,531.50
  4. Step 4: Simplify right side
    3,839.82x = 8,821,577.84
  5. Step 5: Solve for x
    x = 8,821,577.84/3,839.82
  6. Step 6: Final answer
    x = 2,297.39

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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.