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Finding the Fourth Proportional to 5,989.56, 8,982.72 and 2,526

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Solution

The fourth proportional to 5,989.56, 8,982.72 and 2,526 is: 3,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.56 : 8,982.72 = 2,526 : x
  2. Step 2: Convert to fraction form
    5,989.56/8,982.72 = 2,526/x
  3. Step 3: Cross multiply
    5,989.56x = 8,982.72 × 2,526
  4. Step 4: Simplify right side
    5,989.56x = 22,690,350.72
  5. Step 5: Solve for x
    x = 22,690,350.72/5,989.56
  6. Step 6: Final answer
    x = 3,788.32

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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.