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Finding the Fourth Proportional to 5,928.71, 8,182.77 and 3,806.92

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Solution

The fourth proportional to 5,928.71, 8,182.77 and 3,806.92 is: 5,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.71 : 8,182.77 = 3,806.92 : x
  2. Step 2: Convert to fraction form
    5,928.71/8,182.77 = 3,806.92/x
  3. Step 3: Cross multiply
    5,928.71x = 8,182.77 × 3,806.92
  4. Step 4: Simplify right side
    5,928.71x = 31,151,191.15
  5. Step 5: Solve for x
    x = 31,151,191.15/5,928.71
  6. Step 6: Final answer
    x = 5,254.29

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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.