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Finding the Fourth Proportional to 5,180.85, 7,771.79 and 2,060.16

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Solution

The fourth proportional to 5,180.85, 7,771.79 and 2,060.16 is: 3,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.85 : 7,771.79 = 2,060.16 : x
  2. Step 2: Convert to fraction form
    5,180.85/7,771.79 = 2,060.16/x
  3. Step 3: Cross multiply
    5,180.85x = 7,771.79 × 2,060.16
  4. Step 4: Simplify right side
    5,180.85x = 16,011,109.88
  5. Step 5: Solve for x
    x = 16,011,109.88/5,180.85
  6. Step 6: Final answer
    x = 3,090.44

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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.