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Finding the Fourth Proportional to 5,983.60, 8,971.80 and 3,067.60

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Solution

The fourth proportional to 5,983.60, 8,971.80 and 3,067.60 is: 4,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.60 : 8,971.80 = 3,067.60 : x
  2. Step 2: Convert to fraction form
    5,983.60/8,971.80 = 3,067.60/x
  3. Step 3: Cross multiply
    5,983.60x = 8,971.80 × 3,067.60
  4. Step 4: Simplify right side
    5,983.60x = 27,521,893.68
  5. Step 5: Solve for x
    x = 27,521,893.68/5,983.60
  6. Step 6: Final answer
    x = 4,599.55

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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.