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Finding the Fourth Proportional to 4,506.71, 6,755.43 and 2,163.20

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Solution

The fourth proportional to 4,506.71, 6,755.43 and 2,163.20 is: 3,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.71 : 6,755.43 = 2,163.20 : x
  2. Step 2: Convert to fraction form
    4,506.71/6,755.43 = 2,163.20/x
  3. Step 3: Cross multiply
    4,506.71x = 6,755.43 × 2,163.20
  4. Step 4: Simplify right side
    4,506.71x = 14,613,346.18
  5. Step 5: Solve for x
    x = 14,613,346.18/4,506.71
  6. Step 6: Final answer
    x = 3,242.58

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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.