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Finding the Fourth Proportional to 3,697.54, 5,102.66 and 2,206.31

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Solution

The fourth proportional to 3,697.54, 5,102.66 and 2,206.31 is: 3,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.54 : 5,102.66 = 2,206.31 : x
  2. Step 2: Convert to fraction form
    3,697.54/5,102.66 = 2,206.31/x
  3. Step 3: Cross multiply
    3,697.54x = 5,102.66 × 2,206.31
  4. Step 4: Simplify right side
    3,697.54x = 11,258,049.78
  5. Step 5: Solve for x
    x = 11,258,049.78/3,697.54
  6. Step 6: Final answer
    x = 3,044.74

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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.