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Finding the Fourth Proportional to 3,753.60, 5,180.48 and 2,160.21

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Solution

The fourth proportional to 3,753.60, 5,180.48 and 2,160.21 is: 2,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.60 : 5,180.48 = 2,160.21 : x
  2. Step 2: Convert to fraction form
    3,753.60/5,180.48 = 2,160.21/x
  3. Step 3: Cross multiply
    3,753.60x = 5,180.48 × 2,160.21
  4. Step 4: Simplify right side
    3,753.60x = 11,190,945.48
  5. Step 5: Solve for x
    x = 11,190,945.48/3,753.60
  6. Step 6: Final answer
    x = 2,981.39

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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.