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Finding the Fourth Proportional to 5,856.12, 8,081.60 and 3,499.61

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Solution

The fourth proportional to 5,856.12, 8,081.60 and 3,499.61 is: 4,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.12 : 8,081.60 = 3,499.61 : x
  2. Step 2: Convert to fraction form
    5,856.12/8,081.60 = 3,499.61/x
  3. Step 3: Cross multiply
    5,856.12x = 8,081.60 × 3,499.61
  4. Step 4: Simplify right side
    5,856.12x = 28,282,390.27
  5. Step 5: Solve for x
    x = 28,282,390.27/5,856.12
  6. Step 6: Final answer
    x = 4,829.54

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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.