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Finding the Fourth Proportional to 5,291.23, 7,936.02 and 2,369.02

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Solution

The fourth proportional to 5,291.23, 7,936.02 and 2,369.02 is: 3,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.23 : 7,936.02 = 2,369.02 : x
  2. Step 2: Convert to fraction form
    5,291.23/7,936.02 = 2,369.02/x
  3. Step 3: Cross multiply
    5,291.23x = 7,936.02 × 2,369.02
  4. Step 4: Simplify right side
    5,291.23x = 18,800,590.10
  5. Step 5: Solve for x
    x = 18,800,590.10/5,291.23
  6. Step 6: Final answer
    x = 3,553.16

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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.