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Finding the Fourth Proportional to 5,117.80, 7,660.80 and 2,771.98

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Solution

The fourth proportional to 5,117.80, 7,660.80 and 2,771.98 is: 4,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.80 : 7,660.80 = 2,771.98 : x
  2. Step 2: Convert to fraction form
    5,117.80/7,660.80 = 2,771.98/x
  3. Step 3: Cross multiply
    5,117.80x = 7,660.80 × 2,771.98
  4. Step 4: Simplify right side
    5,117.80x = 21,235,556.47
  5. Step 5: Solve for x
    x = 21,235,556.47/5,117.80
  6. Step 6: Final answer
    x = 4,149.36

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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.