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Finding the Fourth Proportional to 5,709.35, 8,546.11 and 3,631.70

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Solution

The fourth proportional to 5,709.35, 8,546.11 and 3,631.70 is: 5,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.35 : 8,546.11 = 3,631.70 : x
  2. Step 2: Convert to fraction form
    5,709.35/8,546.11 = 3,631.70/x
  3. Step 3: Cross multiply
    5,709.35x = 8,546.11 × 3,631.70
  4. Step 4: Simplify right side
    5,709.35x = 31,036,919.97
  5. Step 5: Solve for x
    x = 31,036,919.97/5,709.35
  6. Step 6: Final answer
    x = 5,436.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.