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Finding the Fourth Proportional to 5,710.60, 8,578.70 and 3,982.60

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Solution

The fourth proportional to 5,710.60, 8,578.70 and 3,982.60 is: 5,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.60 : 8,578.70 = 3,982.60 : x
  2. Step 2: Convert to fraction form
    5,710.60/8,578.70 = 3,982.60/x
  3. Step 3: Cross multiply
    5,710.60x = 8,578.70 × 3,982.60
  4. Step 4: Simplify right side
    5,710.60x = 34,165,530.62
  5. Step 5: Solve for x
    x = 34,165,530.62/5,710.60
  6. Step 6: Final answer
    x = 5,982.83

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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.