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Finding the Fourth Proportional to 3,841.45, 5,760.28 and 1,244.05

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Solution

The fourth proportional to 3,841.45, 5,760.28 and 1,244.05 is: 1,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.45 : 5,760.28 = 1,244.05 : x
  2. Step 2: Convert to fraction form
    3,841.45/5,760.28 = 1,244.05/x
  3. Step 3: Cross multiply
    3,841.45x = 5,760.28 × 1,244.05
  4. Step 4: Simplify right side
    3,841.45x = 7,166,076.33
  5. Step 5: Solve for x
    x = 7,166,076.33/3,841.45
  6. Step 6: Final answer
    x = 1,865.46

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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.