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Finding the Fourth Proportional to 4,321.57, 6,450.80 and 3,709.21

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Solution

The fourth proportional to 4,321.57, 6,450.80 and 3,709.21 is: 5,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.57 : 6,450.80 = 3,709.21 : x
  2. Step 2: Convert to fraction form
    4,321.57/6,450.80 = 3,709.21/x
  3. Step 3: Cross multiply
    4,321.57x = 6,450.80 × 3,709.21
  4. Step 4: Simplify right side
    4,321.57x = 23,927,371.87
  5. Step 5: Solve for x
    x = 23,927,371.87/4,321.57
  6. Step 6: Final answer
    x = 5,536.73

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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.