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Finding the Fourth Proportional to 3,842.45, 5,296.99 and 3,309.02

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Solution

The fourth proportional to 3,842.45, 5,296.99 and 3,309.02 is: 4,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.45 : 5,296.99 = 3,309.02 : x
  2. Step 2: Convert to fraction form
    3,842.45/5,296.99 = 3,309.02/x
  3. Step 3: Cross multiply
    3,842.45x = 5,296.99 × 3,309.02
  4. Step 4: Simplify right side
    3,842.45x = 17,527,845.85
  5. Step 5: Solve for x
    x = 17,527,845.85/3,842.45
  6. Step 6: Final answer
    x = 4,561.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.