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Finding the Fourth Proportional to 5,688.25, 8,532.11 and 1,991.31

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Solution

The fourth proportional to 5,688.25, 8,532.11 and 1,991.31 is: 2,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.25 : 8,532.11 = 1,991.31 : x
  2. Step 2: Convert to fraction form
    5,688.25/8,532.11 = 1,991.31/x
  3. Step 3: Cross multiply
    5,688.25x = 8,532.11 × 1,991.31
  4. Step 4: Simplify right side
    5,688.25x = 16,990,023.35
  5. Step 5: Solve for x
    x = 16,990,023.35/5,688.25
  6. Step 6: Final answer
    x = 2,986.87

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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.