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Finding the Fourth Proportional to 3,497.69, 5,235.67 and 2,614.99

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Solution

The fourth proportional to 3,497.69, 5,235.67 and 2,614.99 is: 3,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.69 : 5,235.67 = 2,614.99 : x
  2. Step 2: Convert to fraction form
    3,497.69/5,235.67 = 2,614.99/x
  3. Step 3: Cross multiply
    3,497.69x = 5,235.67 × 2,614.99
  4. Step 4: Simplify right side
    3,497.69x = 13,691,224.69
  5. Step 5: Solve for x
    x = 13,691,224.69/3,497.69
  6. Step 6: Final answer
    x = 3,914.36

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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.