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Finding the Fourth Proportional to 3,425.64, 5,137.22 and 1,233.78

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Solution

The fourth proportional to 3,425.64, 5,137.22 and 1,233.78 is: 1,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.64 : 5,137.22 = 1,233.78 : x
  2. Step 2: Convert to fraction form
    3,425.64/5,137.22 = 1,233.78/x
  3. Step 3: Cross multiply
    3,425.64x = 5,137.22 × 1,233.78
  4. Step 4: Simplify right side
    3,425.64x = 6,338,199.29
  5. Step 5: Solve for x
    x = 6,338,199.29/3,425.64
  6. Step 6: Final answer
    x = 1,850.22

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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.