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Finding the Fourth Proportional to 5,803.50, 8,008.72 and 3,286.09

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Solution

The fourth proportional to 5,803.50, 8,008.72 and 3,286.09 is: 4,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.50 : 8,008.72 = 3,286.09 : x
  2. Step 2: Convert to fraction form
    5,803.50/8,008.72 = 3,286.09/x
  3. Step 3: Cross multiply
    5,803.50x = 8,008.72 × 3,286.09
  4. Step 4: Simplify right side
    5,803.50x = 26,317,346.47
  5. Step 5: Solve for x
    x = 26,317,346.47/5,803.50
  6. Step 6: Final answer
    x = 4,534.74

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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.