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Finding the Fourth Proportional to 4,274, 5,892.72 and 3,515

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Solution

The fourth proportional to 4,274, 5,892.72 and 3,515 is: 4,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274 : 5,892.72 = 3,515 : x
  2. Step 2: Convert to fraction form
    4,274/5,892.72 = 3,515/x
  3. Step 3: Cross multiply
    4,274x = 5,892.72 × 3,515
  4. Step 4: Simplify right side
    4,274x = 20,712,910.80
  5. Step 5: Solve for x
    x = 20,712,910.80/4,274
  6. Step 6: Final answer
    x = 4,846.26

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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.