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Finding the Fourth Proportional to 4,331.67, 6,499.99 and 4,296.44

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Solution

The fourth proportional to 4,331.67, 6,499.99 and 4,296.44 is: 6,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.67 : 6,499.99 = 4,296.44 : x
  2. Step 2: Convert to fraction form
    4,331.67/6,499.99 = 4,296.44/x
  3. Step 3: Cross multiply
    4,331.67x = 6,499.99 × 4,296.44
  4. Step 4: Simplify right side
    4,331.67x = 27,926,817.04
  5. Step 5: Solve for x
    x = 27,926,817.04/4,331.67
  6. Step 6: Final answer
    x = 6,447.12

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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.