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Finding the Fourth Proportional to 3,840.50, 5,760.76 and 2,604.85

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Solution

The fourth proportional to 3,840.50, 5,760.76 and 2,604.85 is: 3,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.50 : 5,760.76 = 2,604.85 : x
  2. Step 2: Convert to fraction form
    3,840.50/5,760.76 = 2,604.85/x
  3. Step 3: Cross multiply
    3,840.50x = 5,760.76 × 2,604.85
  4. Step 4: Simplify right side
    3,840.50x = 15,005,915.69
  5. Step 5: Solve for x
    x = 15,005,915.69/3,840.50
  6. Step 6: Final answer
    x = 3,907.28

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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.