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Finding the Fourth Proportional to 3,840.54, 5,761.56 and 1,500.45

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Solution

The fourth proportional to 3,840.54, 5,761.56 and 1,500.45 is: 2,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.54 : 5,761.56 = 1,500.45 : x
  2. Step 2: Convert to fraction form
    3,840.54/5,761.56 = 1,500.45/x
  3. Step 3: Cross multiply
    3,840.54x = 5,761.56 × 1,500.45
  4. Step 4: Simplify right side
    3,840.54x = 8,644,932.70
  5. Step 5: Solve for x
    x = 8,644,932.70/3,840.54
  6. Step 6: Final answer
    x = 2,250.97

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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.