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Finding the Fourth Proportional to 5,785, 7,997.70 and 5,540.20

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Solution

The fourth proportional to 5,785, 7,997.70 and 5,540.20 is: 7,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785 : 7,997.70 = 5,540.20 : x
  2. Step 2: Convert to fraction form
    5,785/7,997.70 = 5,540.20/x
  3. Step 3: Cross multiply
    5,785x = 7,997.70 × 5,540.20
  4. Step 4: Simplify right side
    5,785x = 44,308,857.54
  5. Step 5: Solve for x
    x = 44,308,857.54/5,785
  6. Step 6: Final answer
    x = 7,659.27

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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.