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Finding the Fourth Proportional to 3,706.27, 5,113.94 and 2,112.89

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Solution

The fourth proportional to 3,706.27, 5,113.94 and 2,112.89 is: 2,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.27 : 5,113.94 = 2,112.89 : x
  2. Step 2: Convert to fraction form
    3,706.27/5,113.94 = 2,112.89/x
  3. Step 3: Cross multiply
    3,706.27x = 5,113.94 × 2,112.89
  4. Step 4: Simplify right side
    3,706.27x = 10,805,156.55
  5. Step 5: Solve for x
    x = 10,805,156.55/3,706.27
  6. Step 6: Final answer
    x = 2,915.38

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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.