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Finding the Fourth Proportional to 6,596.60, 9,879.19 and 3,817.41

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Solution

The fourth proportional to 6,596.60, 9,879.19 and 3,817.41 is: 5,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.60 : 9,879.19 = 3,817.41 : x
  2. Step 2: Convert to fraction form
    6,596.60/9,879.19 = 3,817.41/x
  3. Step 3: Cross multiply
    6,596.60x = 9,879.19 × 3,817.41
  4. Step 4: Simplify right side
    6,596.60x = 37,712,909.15
  5. Step 5: Solve for x
    x = 37,712,909.15/6,596.60
  6. Step 6: Final answer
    x = 5,717.03

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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.