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Finding the Fourth Proportional to 5,697.70, 8,546.55 and 3,073.30

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Solution

The fourth proportional to 5,697.70, 8,546.55 and 3,073.30 is: 4,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.70 : 8,546.55 = 3,073.30 : x
  2. Step 2: Convert to fraction form
    5,697.70/8,546.55 = 3,073.30/x
  3. Step 3: Cross multiply
    5,697.70x = 8,546.55 × 3,073.30
  4. Step 4: Simplify right side
    5,697.70x = 26,266,112.12
  5. Step 5: Solve for x
    x = 26,266,112.12/5,697.70
  6. Step 6: Final answer
    x = 4,609.95

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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.