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Finding the Fourth Proportional to 5,665.50, 8,490.42 and 3,168

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Solution

The fourth proportional to 5,665.50, 8,490.42 and 3,168 is: 4,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.50 : 8,490.42 = 3,168 : x
  2. Step 2: Convert to fraction form
    5,665.50/8,490.42 = 3,168/x
  3. Step 3: Cross multiply
    5,665.50x = 8,490.42 × 3,168
  4. Step 4: Simplify right side
    5,665.50x = 26,897,650.56
  5. Step 5: Solve for x
    x = 26,897,650.56/5,665.50
  6. Step 6: Final answer
    x = 4,747.62

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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.