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Finding the Fourth Proportional to 5,734.17, 7,912.53 and 3,216.15

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Solution

The fourth proportional to 5,734.17, 7,912.53 and 3,216.15 is: 4,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.17 : 7,912.53 = 3,216.15 : x
  2. Step 2: Convert to fraction form
    5,734.17/7,912.53 = 3,216.15/x
  3. Step 3: Cross multiply
    5,734.17x = 7,912.53 × 3,216.15
  4. Step 4: Simplify right side
    5,734.17x = 25,447,883.36
  5. Step 5: Solve for x
    x = 25,447,883.36/5,734.17
  6. Step 6: Final answer
    x = 4,437.94

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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.