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Finding the Fourth Proportional to 5,978.92, 8,968.46 and 2,282.84

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Solution

The fourth proportional to 5,978.92, 8,968.46 and 2,282.84 is: 3,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.92 : 8,968.46 = 2,282.84 : x
  2. Step 2: Convert to fraction form
    5,978.92/8,968.46 = 2,282.84/x
  3. Step 3: Cross multiply
    5,978.92x = 8,968.46 × 2,282.84
  4. Step 4: Simplify right side
    5,978.92x = 20,473,559.23
  5. Step 5: Solve for x
    x = 20,473,559.23/5,978.92
  6. Step 6: Final answer
    x = 3,424.29

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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.