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Finding the Fourth Proportional to 5,689.89, 8,533.09 and 1,991.43

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Solution

The fourth proportional to 5,689.89, 8,533.09 and 1,991.43 is: 2,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.89 : 8,533.09 = 1,991.43 : x
  2. Step 2: Convert to fraction form
    5,689.89/8,533.09 = 1,991.43/x
  3. Step 3: Cross multiply
    5,689.89x = 8,533.09 × 1,991.43
  4. Step 4: Simplify right side
    5,689.89x = 16,993,051.42
  5. Step 5: Solve for x
    x = 16,993,051.42/5,689.89
  6. Step 6: Final answer
    x = 2,986.53

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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.