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Finding the Fourth Proportional to 4,213.94, 6,321.65 and 1,439.96

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Solution

The fourth proportional to 4,213.94, 6,321.65 and 1,439.96 is: 2,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.94 : 6,321.65 = 1,439.96 : x
  2. Step 2: Convert to fraction form
    4,213.94/6,321.65 = 1,439.96/x
  3. Step 3: Cross multiply
    4,213.94x = 6,321.65 × 1,439.96
  4. Step 4: Simplify right side
    4,213.94x = 9,102,923.13
  5. Step 5: Solve for x
    x = 9,102,923.13/4,213.94
  6. Step 6: Final answer
    x = 2,160.19

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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.