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Finding the Fourth Proportional to 5,733.68, 7,912.08 and 3,216.20

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Solution

The fourth proportional to 5,733.68, 7,912.08 and 3,216.20 is: 4,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.68 : 7,912.08 = 3,216.20 : x
  2. Step 2: Convert to fraction form
    5,733.68/7,912.08 = 3,216.20/x
  3. Step 3: Cross multiply
    5,733.68x = 7,912.08 × 3,216.20
  4. Step 4: Simplify right side
    5,733.68x = 25,446,831.70
  5. Step 5: Solve for x
    x = 25,446,831.70/5,733.68
  6. Step 6: Final answer
    x = 4,438.13

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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.