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Finding the Fourth Proportional to 3,892.83, 5,372.04 and 2,124.39

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Solution

The fourth proportional to 3,892.83, 5,372.04 and 2,124.39 is: 2,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.83 : 5,372.04 = 2,124.39 : x
  2. Step 2: Convert to fraction form
    3,892.83/5,372.04 = 2,124.39/x
  3. Step 3: Cross multiply
    3,892.83x = 5,372.04 × 2,124.39
  4. Step 4: Simplify right side
    3,892.83x = 11,412,308.06
  5. Step 5: Solve for x
    x = 11,412,308.06/3,892.83
  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.