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Finding the Fourth Proportional to 3,410.49, 4,706.67 and 2,274.20

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Solution

The fourth proportional to 3,410.49, 4,706.67 and 2,274.20 is: 3,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.49 : 4,706.67 = 2,274.20 : x
  2. Step 2: Convert to fraction form
    3,410.49/4,706.67 = 2,274.20/x
  3. Step 3: Cross multiply
    3,410.49x = 4,706.67 × 2,274.20
  4. Step 4: Simplify right side
    3,410.49x = 10,703,885.38
  5. Step 5: Solve for x
    x = 10,703,885.38/3,410.49
  6. Step 6: Final answer
    x = 3,138.52

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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.