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Finding the Fourth Proportional to 5,734.08, 7,913.25 and 3,216.75

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Solution

The fourth proportional to 5,734.08, 7,913.25 and 3,216.75 is: 4,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.08 : 7,913.25 = 3,216.75 : x
  2. Step 2: Convert to fraction form
    5,734.08/7,913.25 = 3,216.75/x
  3. Step 3: Cross multiply
    5,734.08x = 7,913.25 × 3,216.75
  4. Step 4: Simplify right side
    5,734.08x = 25,454,946.94
  5. Step 5: Solve for x
    x = 25,454,946.94/5,734.08
  6. Step 6: Final answer
    x = 4,439.24

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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.