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Finding the Fourth Proportional to 5,639.67, 8,460.31 and 1,744.38

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Solution

The fourth proportional to 5,639.67, 8,460.31 and 1,744.38 is: 2,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.67 : 8,460.31 = 1,744.38 : x
  2. Step 2: Convert to fraction form
    5,639.67/8,460.31 = 1,744.38/x
  3. Step 3: Cross multiply
    5,639.67x = 8,460.31 × 1,744.38
  4. Step 4: Simplify right side
    5,639.67x = 14,757,948.90
  5. Step 5: Solve for x
    x = 14,757,948.90/5,639.67
  6. Step 6: Final answer
    x = 2,616.81

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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.