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Finding the Fourth Proportional to 5,223.64, 7,201.96 and 3,809.38

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Solution

The fourth proportional to 5,223.64, 7,201.96 and 3,809.38 is: 5,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.64 : 7,201.96 = 3,809.38 : x
  2. Step 2: Convert to fraction form
    5,223.64/7,201.96 = 3,809.38/x
  3. Step 3: Cross multiply
    5,223.64x = 7,201.96 × 3,809.38
  4. Step 4: Simplify right side
    5,223.64x = 27,435,002.38
  5. Step 5: Solve for x
    x = 27,435,002.38/5,223.64
  6. Step 6: Final answer
    x = 5,252.09

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Why These Related Problems?

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