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Finding the Fourth Proportional to 5,475.38, 8,222.98 and 5,035.85

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Solution

The fourth proportional to 5,475.38, 8,222.98 and 5,035.85 is: 7,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.38 : 8,222.98 = 5,035.85 : x
  2. Step 2: Convert to fraction form
    5,475.38/8,222.98 = 5,035.85/x
  3. Step 3: Cross multiply
    5,475.38x = 8,222.98 × 5,035.85
  4. Step 4: Simplify right side
    5,475.38x = 41,409,640.13
  5. Step 5: Solve for x
    x = 41,409,640.13/5,475.38
  6. Step 6: Final answer
    x = 7,562.88

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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.