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Finding the Fourth Proportional to 5,832, 8,736.26 and 3,747.06

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Solution

The fourth proportional to 5,832, 8,736.26 and 3,747.06 is: 5,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 8,736.26 = 3,747.06 : x
  2. Step 2: Convert to fraction form
    5,832/8,736.26 = 3,747.06/x
  3. Step 3: Cross multiply
    5,832x = 8,736.26 × 3,747.06
  4. Step 4: Simplify right side
    5,832x = 32,735,271.66
  5. Step 5: Solve for x
    x = 32,735,271.66/5,832
  6. Step 6: Final answer
    x = 5,613.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.