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Finding the Fourth Proportional to 3,410.67, 4,706.93 and 2,274.38

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Solution

The fourth proportional to 3,410.67, 4,706.93 and 2,274.38 is: 3,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.67 : 4,706.93 = 2,274.38 : x
  2. Step 2: Convert to fraction form
    3,410.67/4,706.93 = 2,274.38/x
  3. Step 3: Cross multiply
    3,410.67x = 4,706.93 × 2,274.38
  4. Step 4: Simplify right side
    3,410.67x = 10,705,334.46
  5. Step 5: Solve for x
    x = 10,705,334.46/3,410.67
  6. Step 6: Final answer
    x = 3,138.77

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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.