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Finding the Fourth Proportional to 4,213.52, 6,321.02 and 1,439.54

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Solution

The fourth proportional to 4,213.52, 6,321.02 and 1,439.54 is: 2,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.52 : 6,321.02 = 1,439.54 : x
  2. Step 2: Convert to fraction form
    4,213.52/6,321.02 = 1,439.54/x
  3. Step 3: Cross multiply
    4,213.52x = 6,321.02 × 1,439.54
  4. Step 4: Simplify right side
    4,213.52x = 9,099,322.33
  5. Step 5: Solve for x
    x = 9,099,322.33/4,213.52
  6. Step 6: Final answer
    x = 2,159.56

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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.