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Finding the Fourth Proportional to 3,892.55, 5,371.75 and 2,124.18

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Solution

The fourth proportional to 3,892.55, 5,371.75 and 2,124.18 is: 2,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.55 : 5,371.75 = 2,124.18 : x
  2. Step 2: Convert to fraction form
    3,892.55/5,371.75 = 2,124.18/x
  3. Step 3: Cross multiply
    3,892.55x = 5,371.75 × 2,124.18
  4. Step 4: Simplify right side
    3,892.55x = 11,410,566.57
  5. Step 5: Solve for x
    x = 11,410,566.57/3,892.55
  6. Step 6: Final answer
    x = 2,931.39

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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.