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Finding the Fourth Proportional to 5,992.57, 8,992.90 and 2,097.01

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Solution

The fourth proportional to 5,992.57, 8,992.90 and 2,097.01 is: 3,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.57 : 8,992.90 = 2,097.01 : x
  2. Step 2: Convert to fraction form
    5,992.57/8,992.90 = 2,097.01/x
  3. Step 3: Cross multiply
    5,992.57x = 8,992.90 × 2,097.01
  4. Step 4: Simplify right side
    5,992.57x = 18,858,151.02
  5. Step 5: Solve for x
    x = 18,858,151.02/5,992.57
  6. Step 6: Final answer
    x = 3,146.92

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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.