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Finding the Fourth Proportional to 5,992.92, 8,997.30 and 5,121

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Solution

The fourth proportional to 5,992.92, 8,997.30 and 5,121 is: 7,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.92 : 8,997.30 = 5,121 : x
  2. Step 2: Convert to fraction form
    5,992.92/8,997.30 = 5,121/x
  3. Step 3: Cross multiply
    5,992.92x = 8,997.30 × 5,121
  4. Step 4: Simplify right side
    5,992.92x = 46,075,173.30
  5. Step 5: Solve for x
    x = 46,075,173.30/5,992.92
  6. Step 6: Final answer
    x = 7,688.27

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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.