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Finding the Fourth Proportional to 4,661.73, 6,433.17 and 2,672.28

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Solution

The fourth proportional to 4,661.73, 6,433.17 and 2,672.28 is: 3,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.73 : 6,433.17 = 2,672.28 : x
  2. Step 2: Convert to fraction form
    4,661.73/6,433.17 = 2,672.28/x
  3. Step 3: Cross multiply
    4,661.73x = 6,433.17 × 2,672.28
  4. Step 4: Simplify right side
    4,661.73x = 17,191,231.53
  5. Step 5: Solve for x
    x = 17,191,231.53/4,661.73
  6. Step 6: Final answer
    x = 3,687.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.