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Finding the Fourth Proportional to 3,847.46, 5,738.79 and 3,223.94

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Solution

The fourth proportional to 3,847.46, 5,738.79 and 3,223.94 is: 4,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.46 : 5,738.79 = 3,223.94 : x
  2. Step 2: Convert to fraction form
    3,847.46/5,738.79 = 3,223.94/x
  3. Step 3: Cross multiply
    3,847.46x = 5,738.79 × 3,223.94
  4. Step 4: Simplify right side
    3,847.46x = 18,501,498.51
  5. Step 5: Solve for x
    x = 18,501,498.51/3,847.46
  6. Step 6: Final answer
    x = 4,808.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.