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Finding the Fourth Proportional to 5,884.95, 8,824.24 and 1,986.63

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Solution

The fourth proportional to 5,884.95, 8,824.24 and 1,986.63 is: 2,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.95 : 8,824.24 = 1,986.63 : x
  2. Step 2: Convert to fraction form
    5,884.95/8,824.24 = 1,986.63/x
  3. Step 3: Cross multiply
    5,884.95x = 8,824.24 × 1,986.63
  4. Step 4: Simplify right side
    5,884.95x = 17,530,469.30
  5. Step 5: Solve for x
    x = 17,530,469.30/5,884.95
  6. Step 6: Final answer
    x = 2,978.86

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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.