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Finding the Fourth Proportional to 3,682.50, 5,080.77 and 2,189.67

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Solution

The fourth proportional to 3,682.50, 5,080.77 and 2,189.67 is: 3,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.50 : 5,080.77 = 2,189.67 : x
  2. Step 2: Convert to fraction form
    3,682.50/5,080.77 = 2,189.67/x
  3. Step 3: Cross multiply
    3,682.50x = 5,080.77 × 2,189.67
  4. Step 4: Simplify right side
    3,682.50x = 11,125,209.65
  5. Step 5: Solve for x
    x = 11,125,209.65/3,682.50
  6. Step 6: Final answer
    x = 3,021.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.