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Finding the Fourth Proportional to 5,992.87, 8,989.34 and 2,097.28

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Solution

The fourth proportional to 5,992.87, 8,989.34 and 2,097.28 is: 3,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.87 : 8,989.34 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    5,992.87/8,989.34 = 2,097.28/x
  3. Step 3: Cross multiply
    5,992.87x = 8,989.34 × 2,097.28
  4. Step 4: Simplify right side
    5,992.87x = 18,853,152.51
  5. Step 5: Solve for x
    x = 18,853,152.51/5,992.87
  6. Step 6: Final answer
    x = 3,145.93

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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.