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Finding the Fourth Proportional to 5,975.68, 8,962.33 and 5,679.32

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Solution

The fourth proportional to 5,975.68, 8,962.33 and 5,679.32 is: 8,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.68 : 8,962.33 = 5,679.32 : x
  2. Step 2: Convert to fraction form
    5,975.68/8,962.33 = 5,679.32/x
  3. Step 3: Cross multiply
    5,975.68x = 8,962.33 × 5,679.32
  4. Step 4: Simplify right side
    5,975.68x = 50,899,940.02
  5. Step 5: Solve for x
    x = 50,899,940.02/5,975.68
  6. Step 6: Final answer
    x = 8,517.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.