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Finding the Fourth Proportional to 5,856.32, 8,081.72 and 3,203.73

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Solution

The fourth proportional to 5,856.32, 8,081.72 and 3,203.73 is: 4,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.32 : 8,081.72 = 3,203.73 : x
  2. Step 2: Convert to fraction form
    5,856.32/8,081.72 = 3,203.73/x
  3. Step 3: Cross multiply
    5,856.32x = 8,081.72 × 3,203.73
  4. Step 4: Simplify right side
    5,856.32x = 25,891,644.81
  5. Step 5: Solve for x
    x = 25,891,644.81/5,856.32
  6. Step 6: Final answer
    x = 4,421.14

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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.