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Finding the Fourth Proportional to 5,735.09, 7,914.50 and 3,344.99

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Solution

The fourth proportional to 5,735.09, 7,914.50 and 3,344.99 is: 4,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.09 : 7,914.50 = 3,344.99 : x
  2. Step 2: Convert to fraction form
    5,735.09/7,914.50 = 3,344.99/x
  3. Step 3: Cross multiply
    5,735.09x = 7,914.50 × 3,344.99
  4. Step 4: Simplify right side
    5,735.09x = 26,473,923.36
  5. Step 5: Solve for x
    x = 26,473,923.36/5,735.09
  6. Step 6: Final answer
    x = 4,616.13

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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.