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Finding the Fourth Proportional to 5,274.29, 7,910.22 and 2,351

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Solution

The fourth proportional to 5,274.29, 7,910.22 and 2,351 is: 3,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.29 : 7,910.22 = 2,351 : x
  2. Step 2: Convert to fraction form
    5,274.29/7,910.22 = 2,351/x
  3. Step 3: Cross multiply
    5,274.29x = 7,910.22 × 2,351
  4. Step 4: Simplify right side
    5,274.29x = 18,596,927.22
  5. Step 5: Solve for x
    x = 18,596,927.22/5,274.29
  6. Step 6: Final answer
    x = 3,525.96

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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.