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Finding the Fourth Proportional to 5,266.09, 7,267.22 and 2,908.24

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Solution

The fourth proportional to 5,266.09, 7,267.22 and 2,908.24 is: 4,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.09 : 7,267.22 = 2,908.24 : x
  2. Step 2: Convert to fraction form
    5,266.09/7,267.22 = 2,908.24/x
  3. Step 3: Cross multiply
    5,266.09x = 7,267.22 × 2,908.24
  4. Step 4: Simplify right side
    5,266.09x = 21,134,819.89
  5. Step 5: Solve for x
    x = 21,134,819.89/5,266.09
  6. Step 6: Final answer
    x = 4,013.38

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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.