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Finding the Fourth Proportional to 5,986.92, 8,975.92 and 4,132.76

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Solution

The fourth proportional to 5,986.92, 8,975.92 and 4,132.76 is: 6,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.92 : 8,975.92 = 4,132.76 : x
  2. Step 2: Convert to fraction form
    5,986.92/8,975.92 = 4,132.76/x
  3. Step 3: Cross multiply
    5,986.92x = 8,975.92 × 4,132.76
  4. Step 4: Simplify right side
    5,986.92x = 37,095,323.14
  5. Step 5: Solve for x
    x = 37,095,323.14/5,986.92
  6. Step 6: Final answer
    x = 6,196.06

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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.