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Finding the Fourth Proportional to 3,821.49, 5,273.49 and 2,143.17

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Solution

The fourth proportional to 3,821.49, 5,273.49 and 2,143.17 is: 2,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.49 : 5,273.49 = 2,143.17 : x
  2. Step 2: Convert to fraction form
    3,821.49/5,273.49 = 2,143.17/x
  3. Step 3: Cross multiply
    3,821.49x = 5,273.49 × 2,143.17
  4. Step 4: Simplify right side
    3,821.49x = 11,301,985.56
  5. Step 5: Solve for x
    x = 11,301,985.56/3,821.49
  6. Step 6: Final answer
    x = 2,957.48

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1.5x scale

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.