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Finding the Fourth Proportional to 6,176.89, 8,524.25 and 3,658.96

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Solution

The fourth proportional to 6,176.89, 8,524.25 and 3,658.96 is: 5,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.89 : 8,524.25 = 3,658.96 : x
  2. Step 2: Convert to fraction form
    6,176.89/8,524.25 = 3,658.96/x
  3. Step 3: Cross multiply
    6,176.89x = 8,524.25 × 3,658.96
  4. Step 4: Simplify right side
    6,176.89x = 31,189,889.78
  5. Step 5: Solve for x
    x = 31,189,889.78/6,176.89
  6. Step 6: Final answer
    x = 5,049.45

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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.