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Finding the Fourth Proportional to 4,243.53, 6,364.99 and 1,321.76

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Solution

The fourth proportional to 4,243.53, 6,364.99 and 1,321.76 is: 1,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.53 : 6,364.99 = 1,321.76 : x
  2. Step 2: Convert to fraction form
    4,243.53/6,364.99 = 1,321.76/x
  3. Step 3: Cross multiply
    4,243.53x = 6,364.99 × 1,321.76
  4. Step 4: Simplify right side
    4,243.53x = 8,412,989.18
  5. Step 5: Solve for x
    x = 8,412,989.18/4,243.53
  6. Step 6: Final answer
    x = 1,982.54

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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.