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Finding the Fourth Proportional to 5,832.12, 8,733.98 and 3,856.52

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Solution

The fourth proportional to 5,832.12, 8,733.98 and 3,856.52 is: 5,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.12 : 8,733.98 = 3,856.52 : x
  2. Step 2: Convert to fraction form
    5,832.12/8,733.98 = 3,856.52/x
  3. Step 3: Cross multiply
    5,832.12x = 8,733.98 × 3,856.52
  4. Step 4: Simplify right side
    5,832.12x = 33,682,768.55
  5. Step 5: Solve for x
    x = 33,682,768.55/5,832.12
  6. Step 6: Final answer
    x = 5,775.39

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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.