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Finding the Fourth Proportional to 5,928.39, 8,182.76 and 3,689

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Solution

The fourth proportional to 5,928.39, 8,182.76 and 3,689 is: 5,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.39 : 8,182.76 = 3,689 : x
  2. Step 2: Convert to fraction form
    5,928.39/8,182.76 = 3,689/x
  3. Step 3: Cross multiply
    5,928.39x = 8,182.76 × 3,689
  4. Step 4: Simplify right side
    5,928.39x = 30,186,201.64
  5. Step 5: Solve for x
    x = 30,186,201.64/5,928.39
  6. Step 6: Final answer
    x = 5,091.80

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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.