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Finding the Fourth Proportional to 3,703.17, 5,103.97 and 3,228.11

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Solution

The fourth proportional to 3,703.17, 5,103.97 and 3,228.11 is: 4,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.17 : 5,103.97 = 3,228.11 : x
  2. Step 2: Convert to fraction form
    3,703.17/5,103.97 = 3,228.11/x
  3. Step 3: Cross multiply
    3,703.17x = 5,103.97 × 3,228.11
  4. Step 4: Simplify right side
    3,703.17x = 16,476,143.01
  5. Step 5: Solve for x
    x = 16,476,143.01/3,703.17
  6. Step 6: Final answer
    x = 4,449.20

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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.