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Finding the Fourth Proportional to 3,697.73, 5,102.88 and 2,206.33

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Solution

The fourth proportional to 3,697.73, 5,102.88 and 2,206.33 is: 3,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.73 : 5,102.88 = 2,206.33 : x
  2. Step 2: Convert to fraction form
    3,697.73/5,102.88 = 2,206.33/x
  3. Step 3: Cross multiply
    3,697.73x = 5,102.88 × 2,206.33
  4. Step 4: Simplify right side
    3,697.73x = 11,258,637.23
  5. Step 5: Solve for x
    x = 11,258,637.23/3,697.73
  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.