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Finding the Fourth Proportional to 3,698.34, 5,103.69 and 2,206.32

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Solution

The fourth proportional to 3,698.34, 5,103.69 and 2,206.32 is: 3,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.34 : 5,103.69 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    3,698.34/5,103.69 = 2,206.32/x
  3. Step 3: Cross multiply
    3,698.34x = 5,103.69 × 2,206.32
  4. Step 4: Simplify right side
    3,698.34x = 11,260,358.32
  5. Step 5: Solve for x
    x = 11,260,358.32/3,698.34
  6. Step 6: Final answer
    x = 3,044.71

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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.