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Finding the Fourth Proportional to 5,920.94, 8,171 and 3,268.46

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Solution

The fourth proportional to 5,920.94, 8,171 and 3,268.46 is: 4,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.94 : 8,171 = 3,268.46 : x
  2. Step 2: Convert to fraction form
    5,920.94/8,171 = 3,268.46/x
  3. Step 3: Cross multiply
    5,920.94x = 8,171 × 3,268.46
  4. Step 4: Simplify right side
    5,920.94x = 26,706,586.66
  5. Step 5: Solve for x
    x = 26,706,586.66/5,920.94
  6. Step 6: Final answer
    x = 4,510.53

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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.