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Finding the Fourth Proportional to 5,996.66, 8,989.55 and 2,098.94

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Solution

The fourth proportional to 5,996.66, 8,989.55 and 2,098.94 is: 3,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.66 : 8,989.55 = 2,098.94 : x
  2. Step 2: Convert to fraction form
    5,996.66/8,989.55 = 2,098.94/x
  3. Step 3: Cross multiply
    5,996.66x = 8,989.55 × 2,098.94
  4. Step 4: Simplify right side
    5,996.66x = 18,868,515.58
  5. Step 5: Solve for x
    x = 18,868,515.58/5,996.66
  6. Step 6: Final answer
    x = 3,146.50

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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.