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Finding the Fourth Proportional to 6,542.40, 9,812.22 and 2,158.83

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Solution

The fourth proportional to 6,542.40, 9,812.22 and 2,158.83 is: 3,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.40 : 9,812.22 = 2,158.83 : x
  2. Step 2: Convert to fraction form
    6,542.40/9,812.22 = 2,158.83/x
  3. Step 3: Cross multiply
    6,542.40x = 9,812.22 × 2,158.83
  4. Step 4: Simplify right side
    6,542.40x = 21,182,914.90
  5. Step 5: Solve for x
    x = 21,182,914.90/6,542.40
  6. Step 6: Final answer
    x = 3,237.79

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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.