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Finding the Fourth Proportional to 5,992.61, 8,992.89 and 2,097

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Solution

The fourth proportional to 5,992.61, 8,992.89 and 2,097 is: 3,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.61 : 8,992.89 = 2,097 : x
  2. Step 2: Convert to fraction form
    5,992.61/8,992.89 = 2,097/x
  3. Step 3: Cross multiply
    5,992.61x = 8,992.89 × 2,097
  4. Step 4: Simplify right side
    5,992.61x = 18,858,090.33
  5. Step 5: Solve for x
    x = 18,858,090.33/5,992.61
  6. Step 6: Final answer
    x = 3,146.89

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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.