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Finding the Fourth Proportional to 5,856.12, 8,081.64 and 3,497.94

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Solution

The fourth proportional to 5,856.12, 8,081.64 and 3,497.94 is: 4,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.12 : 8,081.64 = 3,497.94 : x
  2. Step 2: Convert to fraction form
    5,856.12/8,081.64 = 3,497.94/x
  3. Step 3: Cross multiply
    5,856.12x = 8,081.64 × 3,497.94
  4. Step 4: Simplify right side
    5,856.12x = 28,269,091.82
  5. Step 5: Solve for x
    x = 28,269,091.82/5,856.12
  6. Step 6: Final answer
    x = 4,827.27

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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.