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Finding the Fourth Proportional to 4,211.02, 6,322 and 3,237.81

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Solution

The fourth proportional to 4,211.02, 6,322 and 3,237.81 is: 4,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.02 : 6,322 = 3,237.81 : x
  2. Step 2: Convert to fraction form
    4,211.02/6,322 = 3,237.81/x
  3. Step 3: Cross multiply
    4,211.02x = 6,322 × 3,237.81
  4. Step 4: Simplify right side
    4,211.02x = 20,469,403.21
  5. Step 5: Solve for x
    x = 20,469,403.21/4,211.02
  6. Step 6: Final answer
    x = 4,860.91

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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.