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Finding the Fourth Proportional to 5,203.86, 7,798.77 and 2,608.62

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Solution

The fourth proportional to 5,203.86, 7,798.77 and 2,608.62 is: 3,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.86 : 7,798.77 = 2,608.62 : x
  2. Step 2: Convert to fraction form
    5,203.86/7,798.77 = 2,608.62/x
  3. Step 3: Cross multiply
    5,203.86x = 7,798.77 × 2,608.62
  4. Step 4: Simplify right side
    5,203.86x = 20,344,027.40
  5. Step 5: Solve for x
    x = 20,344,027.40/5,203.86
  6. Step 6: Final answer
    x = 3,909.41

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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.