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Finding the Fourth Proportional to 6,175.50, 8,524.35 and 3,691.50

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Solution

The fourth proportional to 6,175.50, 8,524.35 and 3,691.50 is: 5,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.50 : 8,524.35 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    6,175.50/8,524.35 = 3,691.50/x
  3. Step 3: Cross multiply
    6,175.50x = 8,524.35 × 3,691.50
  4. Step 4: Simplify right side
    6,175.50x = 31,467,638.03
  5. Step 5: Solve for x
    x = 31,467,638.03/6,175.50
  6. Step 6: Final answer
    x = 5,095.56

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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.