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Finding the Fourth Proportional to 3,664.38, 5,057.16 and 2,092.98

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Solution

The fourth proportional to 3,664.38, 5,057.16 and 2,092.98 is: 2,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.38 : 5,057.16 = 2,092.98 : x
  2. Step 2: Convert to fraction form
    3,664.38/5,057.16 = 2,092.98/x
  3. Step 3: Cross multiply
    3,664.38x = 5,057.16 × 2,092.98
  4. Step 4: Simplify right side
    3,664.38x = 10,584,534.74
  5. Step 5: Solve for x
    x = 10,584,534.74/3,664.38
  6. Step 6: Final answer
    x = 2,888.49

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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.