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Finding the Fourth Proportional to 5,805.12, 8,009.16 and 3,286.98

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Solution

The fourth proportional to 5,805.12, 8,009.16 and 3,286.98 is: 4,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.12 : 8,009.16 = 3,286.98 : x
  2. Step 2: Convert to fraction form
    5,805.12/8,009.16 = 3,286.98/x
  3. Step 3: Cross multiply
    5,805.12x = 8,009.16 × 3,286.98
  4. Step 4: Simplify right side
    5,805.12x = 26,325,948.74
  5. Step 5: Solve for x
    x = 26,325,948.74/5,805.12
  6. Step 6: Final answer
    x = 4,534.95

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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.