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Finding the Fourth Proportional to 5,856.24, 8,081.52 and 3,203.52

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Solution

The fourth proportional to 5,856.24, 8,081.52 and 3,203.52 is: 4,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.24 : 8,081.52 = 3,203.52 : x
  2. Step 2: Convert to fraction form
    5,856.24/8,081.52 = 3,203.52/x
  3. Step 3: Cross multiply
    5,856.24x = 8,081.52 × 3,203.52
  4. Step 4: Simplify right side
    5,856.24x = 25,889,310.95
  5. Step 5: Solve for x
    x = 25,889,310.95/5,856.24
  6. Step 6: Final answer
    x = 4,420.81

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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.