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Finding the Fourth Proportional to 3,772.66, 5,206.09 and 2,094.14

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Solution

The fourth proportional to 3,772.66, 5,206.09 and 2,094.14 is: 2,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.66 : 5,206.09 = 2,094.14 : x
  2. Step 2: Convert to fraction form
    3,772.66/5,206.09 = 2,094.14/x
  3. Step 3: Cross multiply
    3,772.66x = 5,206.09 × 2,094.14
  4. Step 4: Simplify right side
    3,772.66x = 10,902,281.31
  5. Step 5: Solve for x
    x = 10,902,281.31/3,772.66
  6. Step 6: Final answer
    x = 2,889.81

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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.