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Finding the Fourth Proportional to 6,000.23, 8,277.57 and 3,760.98

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Solution

The fourth proportional to 6,000.23, 8,277.57 and 3,760.98 is: 5,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.23 : 8,277.57 = 3,760.98 : x
  2. Step 2: Convert to fraction form
    6,000.23/8,277.57 = 3,760.98/x
  3. Step 3: Cross multiply
    6,000.23x = 8,277.57 × 3,760.98
  4. Step 4: Simplify right side
    6,000.23x = 31,131,775.22
  5. Step 5: Solve for x
    x = 31,131,775.22/6,000.23
  6. Step 6: Final answer
    x = 5,188.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.