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Finding the Fourth Proportional to 5,873.76, 8,105.76 and 3,634.92

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Solution

The fourth proportional to 5,873.76, 8,105.76 and 3,634.92 is: 5,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.76 : 8,105.76 = 3,634.92 : x
  2. Step 2: Convert to fraction form
    5,873.76/8,105.76 = 3,634.92/x
  3. Step 3: Cross multiply
    5,873.76x = 8,105.76 × 3,634.92
  4. Step 4: Simplify right side
    5,873.76x = 29,463,789.14
  5. Step 5: Solve for x
    x = 29,463,789.14/5,873.76
  6. Step 6: Final answer
    x = 5,016.17

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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.