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Finding the Fourth Proportional to 5,186.92, 7,782.20 and 4,412.80

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Solution

The fourth proportional to 5,186.92, 7,782.20 and 4,412.80 is: 6,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.92 : 7,782.20 = 4,412.80 : x
  2. Step 2: Convert to fraction form
    5,186.92/7,782.20 = 4,412.80/x
  3. Step 3: Cross multiply
    5,186.92x = 7,782.20 × 4,412.80
  4. Step 4: Simplify right side
    5,186.92x = 34,341,292.16
  5. Step 5: Solve for x
    x = 34,341,292.16/5,186.92
  6. Step 6: Final answer
    x = 6,620.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.