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Finding the Fourth Proportional to 3,691.04, 5,103.45 and 3,224.12

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Solution

The fourth proportional to 3,691.04, 5,103.45 and 3,224.12 is: 4,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.04 : 5,103.45 = 3,224.12 : x
  2. Step 2: Convert to fraction form
    3,691.04/5,103.45 = 3,224.12/x
  3. Step 3: Cross multiply
    3,691.04x = 5,103.45 × 3,224.12
  4. Step 4: Simplify right side
    3,691.04x = 16,454,109.70
  5. Step 5: Solve for x
    x = 16,454,109.70/3,691.04
  6. Step 6: Final answer
    x = 4,457.86

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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.