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Finding the Fourth Proportional to 6,589.58, 9,877.68 and 2,203.43

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Solution

The fourth proportional to 6,589.58, 9,877.68 and 2,203.43 is: 3,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.58 : 9,877.68 = 2,203.43 : x
  2. Step 2: Convert to fraction form
    6,589.58/9,877.68 = 2,203.43/x
  3. Step 3: Cross multiply
    6,589.58x = 9,877.68 × 2,203.43
  4. Step 4: Simplify right side
    6,589.58x = 21,764,727.05
  5. Step 5: Solve for x
    x = 21,764,727.05/6,589.58
  6. Step 6: Final answer
    x = 3,302.90

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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.