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Finding the Fourth Proportional to 4,900.24, 7,337.94 and 4,211.56

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Solution

The fourth proportional to 4,900.24, 7,337.94 and 4,211.56 is: 6,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.24 : 7,337.94 = 4,211.56 : x
  2. Step 2: Convert to fraction form
    4,900.24/7,337.94 = 4,211.56/x
  3. Step 3: Cross multiply
    4,900.24x = 7,337.94 × 4,211.56
  4. Step 4: Simplify right side
    4,900.24x = 30,904,174.59
  5. Step 5: Solve for x
    x = 30,904,174.59/4,900.24
  6. Step 6: Final answer
    x = 6,306.67

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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.