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Finding the Fourth Proportional to 3,701.66, 5,108.64 and 2,209.56

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Solution

The fourth proportional to 3,701.66, 5,108.64 and 2,209.56 is: 3,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.66 : 5,108.64 = 2,209.56 : x
  2. Step 2: Convert to fraction form
    3,701.66/5,108.64 = 2,209.56/x
  3. Step 3: Cross multiply
    3,701.66x = 5,108.64 × 2,209.56
  4. Step 4: Simplify right side
    3,701.66x = 11,287,846.60
  5. Step 5: Solve for x
    x = 11,287,846.60/3,701.66
  6. Step 6: Final answer
    x = 3,049.41

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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.