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Finding the Fourth Proportional to 5,863.78, 8,796.48 and 1,967.68

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Solution

The fourth proportional to 5,863.78, 8,796.48 and 1,967.68 is: 2,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.78 : 8,796.48 = 1,967.68 : x
  2. Step 2: Convert to fraction form
    5,863.78/8,796.48 = 1,967.68/x
  3. Step 3: Cross multiply
    5,863.78x = 8,796.48 × 1,967.68
  4. Step 4: Simplify right side
    5,863.78x = 17,308,657.77
  5. Step 5: Solve for x
    x = 17,308,657.77/5,863.78
  6. Step 6: Final answer
    x = 2,951.79

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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.