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Finding the Fourth Proportional to 4,238.52, 6,358.32 and 2,157.81

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Solution

The fourth proportional to 4,238.52, 6,358.32 and 2,157.81 is: 3,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.52 : 6,358.32 = 2,157.81 : x
  2. Step 2: Convert to fraction form
    4,238.52/6,358.32 = 2,157.81/x
  3. Step 3: Cross multiply
    4,238.52x = 6,358.32 × 2,157.81
  4. Step 4: Simplify right side
    4,238.52x = 13,720,046.48
  5. Step 5: Solve for x
    x = 13,720,046.48/4,238.52
  6. Step 6: Final answer
    x = 3,236.99

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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.