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Finding the Fourth Proportional to 3,884.97, 5,822.60 and 1,937.73

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Solution

The fourth proportional to 3,884.97, 5,822.60 and 1,937.73 is: 2,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.97 : 5,822.60 = 1,937.73 : x
  2. Step 2: Convert to fraction form
    3,884.97/5,822.60 = 1,937.73/x
  3. Step 3: Cross multiply
    3,884.97x = 5,822.60 × 1,937.73
  4. Step 4: Simplify right side
    3,884.97x = 11,282,617.01
  5. Step 5: Solve for x
    x = 11,282,617.01/3,884.97
  6. Step 6: Final answer
    x = 2,904.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.