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Finding the Fourth Proportional to 3,896.38, 5,845.20 and 1,264.54

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Solution

The fourth proportional to 3,896.38, 5,845.20 and 1,264.54 is: 1,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.38 : 5,845.20 = 1,264.54 : x
  2. Step 2: Convert to fraction form
    3,896.38/5,845.20 = 1,264.54/x
  3. Step 3: Cross multiply
    3,896.38x = 5,845.20 × 1,264.54
  4. Step 4: Simplify right side
    3,896.38x = 7,391,489.21
  5. Step 5: Solve for x
    x = 7,391,489.21/3,896.38
  6. Step 6: Final answer
    x = 1,897.01

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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.