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Finding the Fourth Proportional to 3,772.71, 5,206.34 and 2,094.38

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Solution

The fourth proportional to 3,772.71, 5,206.34 and 2,094.38 is: 2,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.71 : 5,206.34 = 2,094.38 : x
  2. Step 2: Convert to fraction form
    3,772.71/5,206.34 = 2,094.38/x
  3. Step 3: Cross multiply
    3,772.71x = 5,206.34 × 2,094.38
  4. Step 4: Simplify right side
    3,772.71x = 10,904,017.87
  5. Step 5: Solve for x
    x = 10,904,017.87/3,772.71
  6. Step 6: Final answer
    x = 2,890.23

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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.