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Finding the Fourth Proportional to 4,599.09, 6,863.90 and 4,286.97

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Solution

The fourth proportional to 4,599.09, 6,863.90 and 4,286.97 is: 6,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.09 : 6,863.90 = 4,286.97 : x
  2. Step 2: Convert to fraction form
    4,599.09/6,863.90 = 4,286.97/x
  3. Step 3: Cross multiply
    4,599.09x = 6,863.90 × 4,286.97
  4. Step 4: Simplify right side
    4,599.09x = 29,425,311.95
  5. Step 5: Solve for x
    x = 29,425,311.95/4,599.09
  6. Step 6: Final answer
    x = 6,398.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.