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Finding the Fourth Proportional to 5,734.82, 7,913.59 and 3,216.59

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Solution

The fourth proportional to 5,734.82, 7,913.59 and 3,216.59 is: 4,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.82 : 7,913.59 = 3,216.59 : x
  2. Step 2: Convert to fraction form
    5,734.82/7,913.59 = 3,216.59/x
  3. Step 3: Cross multiply
    5,734.82x = 7,913.59 × 3,216.59
  4. Step 4: Simplify right side
    5,734.82x = 25,454,786.20
  5. Step 5: Solve for x
    x = 25,454,786.20/5,734.82
  6. Step 6: Final answer
    x = 4,438.64

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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.