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Finding the Fourth Proportional to 5,809.22, 8,016.50 and 3,156.57

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Solution

The fourth proportional to 5,809.22, 8,016.50 and 3,156.57 is: 4,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.22 : 8,016.50 = 3,156.57 : x
  2. Step 2: Convert to fraction form
    5,809.22/8,016.50 = 3,156.57/x
  3. Step 3: Cross multiply
    5,809.22x = 8,016.50 × 3,156.57
  4. Step 4: Simplify right side
    5,809.22x = 25,304,651.30
  5. Step 5: Solve for x
    x = 25,304,651.30/5,809.22
  6. Step 6: Final answer
    x = 4,355.95

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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.