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Finding the Fourth Proportional to 6,175.89, 8,522.24 and 3,523.13

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Solution

The fourth proportional to 6,175.89, 8,522.24 and 3,523.13 is: 4,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.89 : 8,522.24 = 3,523.13 : x
  2. Step 2: Convert to fraction form
    6,175.89/8,522.24 = 3,523.13/x
  3. Step 3: Cross multiply
    6,175.89x = 8,522.24 × 3,523.13
  4. Step 4: Simplify right side
    6,175.89x = 30,024,959.41
  5. Step 5: Solve for x
    x = 30,024,959.41/6,175.89
  6. Step 6: Final answer
    x = 4,861.64

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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.