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Finding the Fourth Proportional to 6,589.68, 9,877.40 and 3,296.24

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Solution

The fourth proportional to 6,589.68, 9,877.40 and 3,296.24 is: 4,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.68 : 9,877.40 = 3,296.24 : x
  2. Step 2: Convert to fraction form
    6,589.68/9,877.40 = 3,296.24/x
  3. Step 3: Cross multiply
    6,589.68x = 9,877.40 × 3,296.24
  4. Step 4: Simplify right side
    6,589.68x = 32,558,280.98
  5. Step 5: Solve for x
    x = 32,558,280.98/6,589.68
  6. Step 6: Final answer
    x = 4,940.80

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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.