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Finding the Fourth Proportional to 5,989.61, 8,986.17 and 1,772.98

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Solution

The fourth proportional to 5,989.61, 8,986.17 and 1,772.98 is: 2,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.61 : 8,986.17 = 1,772.98 : x
  2. Step 2: Convert to fraction form
    5,989.61/8,986.17 = 1,772.98/x
  3. Step 3: Cross multiply
    5,989.61x = 8,986.17 × 1,772.98
  4. Step 4: Simplify right side
    5,989.61x = 15,932,273.90
  5. Step 5: Solve for x
    x = 15,932,273.90/5,989.61
  6. Step 6: Final answer
    x = 2,659.98

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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.