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Finding the Fourth Proportional to 5,639.16, 8,459.31 and 1,940.90

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Solution

The fourth proportional to 5,639.16, 8,459.31 and 1,940.90 is: 2,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.16 : 8,459.31 = 1,940.90 : x
  2. Step 2: Convert to fraction form
    5,639.16/8,459.31 = 1,940.90/x
  3. Step 3: Cross multiply
    5,639.16x = 8,459.31 × 1,940.90
  4. Step 4: Simplify right side
    5,639.16x = 16,418,665.07
  5. Step 5: Solve for x
    x = 16,418,665.07/5,639.16
  6. Step 6: Final answer
    x = 2,911.54

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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.