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Finding the Fourth Proportional to 4,232.30, 6,334.05 and 3,713.90

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Solution

The fourth proportional to 4,232.30, 6,334.05 and 3,713.90 is: 5,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.30 : 6,334.05 = 3,713.90 : x
  2. Step 2: Convert to fraction form
    4,232.30/6,334.05 = 3,713.90/x
  3. Step 3: Cross multiply
    4,232.30x = 6,334.05 × 3,713.90
  4. Step 4: Simplify right side
    4,232.30x = 23,524,028.30
  5. Step 5: Solve for x
    x = 23,524,028.30/4,232.30
  6. Step 6: Final answer
    x = 5,558.21

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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.