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Finding the Fourth Proportional to 5,216.12, 7,204.56 and 3,797.56

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Solution

The fourth proportional to 5,216.12, 7,204.56 and 3,797.56 is: 5,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.12 : 7,204.56 = 3,797.56 : x
  2. Step 2: Convert to fraction form
    5,216.12/7,204.56 = 3,797.56/x
  3. Step 3: Cross multiply
    5,216.12x = 7,204.56 × 3,797.56
  4. Step 4: Simplify right side
    5,216.12x = 27,359,730.86
  5. Step 5: Solve for x
    x = 27,359,730.86/5,216.12
  6. Step 6: Final answer
    x = 5,245.23

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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.