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Finding the Fourth Proportional to 5,180.86, 7,766.16 and 2,058.94

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Solution

The fourth proportional to 5,180.86, 7,766.16 and 2,058.94 is: 3,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.86 : 7,766.16 = 2,058.94 : x
  2. Step 2: Convert to fraction form
    5,180.86/7,766.16 = 2,058.94/x
  3. Step 3: Cross multiply
    5,180.86x = 7,766.16 × 2,058.94
  4. Step 4: Simplify right side
    5,180.86x = 15,990,057.47
  5. Step 5: Solve for x
    x = 15,990,057.47/5,180.86
  6. Step 6: Final answer
    x = 3,086.37

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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.