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Finding the Fourth Proportional to 5,856.96, 8,083.28 and 3,270.16

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Solution

The fourth proportional to 5,856.96, 8,083.28 and 3,270.16 is: 4,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.96 : 8,083.28 = 3,270.16 : x
  2. Step 2: Convert to fraction form
    5,856.96/8,083.28 = 3,270.16/x
  3. Step 3: Cross multiply
    5,856.96x = 8,083.28 × 3,270.16
  4. Step 4: Simplify right side
    5,856.96x = 26,433,618.92
  5. Step 5: Solve for x
    x = 26,433,618.92/5,856.96
  6. Step 6: Final answer
    x = 4,513.20

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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.