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Finding the Fourth Proportional to 4,496.24, 6,744.06 and 2,157.90

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Solution

The fourth proportional to 4,496.24, 6,744.06 and 2,157.90 is: 3,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.24 : 6,744.06 = 2,157.90 : x
  2. Step 2: Convert to fraction form
    4,496.24/6,744.06 = 2,157.90/x
  3. Step 3: Cross multiply
    4,496.24x = 6,744.06 × 2,157.90
  4. Step 4: Simplify right side
    4,496.24x = 14,553,007.07
  5. Step 5: Solve for x
    x = 14,553,007.07/4,496.24
  6. Step 6: Final answer
    x = 3,236.71

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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.