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Finding the Fourth Proportional to 3,892.78, 5,372.02 and 2,124.37

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Solution

The fourth proportional to 3,892.78, 5,372.02 and 2,124.37 is: 2,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.78 : 5,372.02 = 2,124.37 : x
  2. Step 2: Convert to fraction form
    3,892.78/5,372.02 = 2,124.37/x
  3. Step 3: Cross multiply
    3,892.78x = 5,372.02 × 2,124.37
  4. Step 4: Simplify right side
    3,892.78x = 11,412,158.13
  5. Step 5: Solve for x
    x = 11,412,158.13/3,892.78
  6. Step 6: Final answer
    x = 2,931.62

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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.