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Finding the Fourth Proportional to 5,164.99, 7,743.13 and 2,241.09

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Solution

The fourth proportional to 5,164.99, 7,743.13 and 2,241.09 is: 3,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.99 : 7,743.13 = 2,241.09 : x
  2. Step 2: Convert to fraction form
    5,164.99/7,743.13 = 2,241.09/x
  3. Step 3: Cross multiply
    5,164.99x = 7,743.13 × 2,241.09
  4. Step 4: Simplify right side
    5,164.99x = 17,353,045.61
  5. Step 5: Solve for x
    x = 17,353,045.61/5,164.99
  6. Step 6: Final answer
    x = 3,359.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.