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Finding the Fourth Proportional to 4,170.46, 6,257.01 and 1,832.43

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Solution

The fourth proportional to 4,170.46, 6,257.01 and 1,832.43 is: 2,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.46 : 6,257.01 = 1,832.43 : x
  2. Step 2: Convert to fraction form
    4,170.46/6,257.01 = 1,832.43/x
  3. Step 3: Cross multiply
    4,170.46x = 6,257.01 × 1,832.43
  4. Step 4: Simplify right side
    4,170.46x = 11,465,561.04
  5. Step 5: Solve for x
    x = 11,465,561.04/4,170.46
  6. Step 6: Final answer
    x = 2,749.23

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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.