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Finding the Fourth Proportional to 3,633.92, 5,014.14 and 2,217.28

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Solution

The fourth proportional to 3,633.92, 5,014.14 and 2,217.28 is: 3,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,014.14 = 2,217.28 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,014.14 = 2,217.28/x
  3. Step 3: Cross multiply
    3,633.92x = 5,014.14 × 2,217.28
  4. Step 4: Simplify right side
    3,633.92x = 11,117,752.34
  5. Step 5: Solve for x
    x = 11,117,752.34/3,633.92
  6. Step 6: Final answer
    x = 3,059.44

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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.