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Finding the Fourth Proportional to 5,311.67, 7,970.81 and 2,027.52

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Solution

The fourth proportional to 5,311.67, 7,970.81 and 2,027.52 is: 3,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.67 : 7,970.81 = 2,027.52 : x
  2. Step 2: Convert to fraction form
    5,311.67/7,970.81 = 2,027.52/x
  3. Step 3: Cross multiply
    5,311.67x = 7,970.81 × 2,027.52
  4. Step 4: Simplify right side
    5,311.67x = 16,160,966.55
  5. Step 5: Solve for x
    x = 16,160,966.55/5,311.67
  6. Step 6: Final answer
    x = 3,042.54

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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.