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Finding the Fourth Proportional to 5,404, 8,106.36 and 2,326

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Solution

The fourth proportional to 5,404, 8,106.36 and 2,326 is: 3,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404 : 8,106.36 = 2,326 : x
  2. Step 2: Convert to fraction form
    5,404/8,106.36 = 2,326/x
  3. Step 3: Cross multiply
    5,404x = 8,106.36 × 2,326
  4. Step 4: Simplify right side
    5,404x = 18,855,393.36
  5. Step 5: Solve for x
    x = 18,855,393.36/5,404
  6. Step 6: Final answer
    x = 3,489.15

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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.