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Finding the Fourth Proportional to 6,174.30, 8,524.66 and 3,657.22

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Solution

The fourth proportional to 6,174.30, 8,524.66 and 3,657.22 is: 5,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.30 : 8,524.66 = 3,657.22 : x
  2. Step 2: Convert to fraction form
    6,174.30/8,524.66 = 3,657.22/x
  3. Step 3: Cross multiply
    6,174.30x = 8,524.66 × 3,657.22
  4. Step 4: Simplify right side
    6,174.30x = 31,176,557.05
  5. Step 5: Solve for x
    x = 31,176,557.05/6,174.30
  6. Step 6: Final answer
    x = 5,049.41

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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.