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Finding the Fourth Proportional to 5,874.24, 8,807.43 and 3,097.98

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Solution

The fourth proportional to 5,874.24, 8,807.43 and 3,097.98 is: 4,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.24 : 8,807.43 = 3,097.98 : x
  2. Step 2: Convert to fraction form
    5,874.24/8,807.43 = 3,097.98/x
  3. Step 3: Cross multiply
    5,874.24x = 8,807.43 × 3,097.98
  4. Step 4: Simplify right side
    5,874.24x = 27,285,241.99
  5. Step 5: Solve for x
    x = 27,285,241.99/5,874.24
  6. Step 6: Final answer
    x = 4,644.90

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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.