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Finding the Fourth Proportional to 5,928.34, 8,180.95 and 3,275.32

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Solution

The fourth proportional to 5,928.34, 8,180.95 and 3,275.32 is: 4,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.34 : 8,180.95 = 3,275.32 : x
  2. Step 2: Convert to fraction form
    5,928.34/8,180.95 = 3,275.32/x
  3. Step 3: Cross multiply
    5,928.34x = 8,180.95 × 3,275.32
  4. Step 4: Simplify right side
    5,928.34x = 26,795,229.15
  5. Step 5: Solve for x
    x = 26,795,229.15/5,928.34
  6. Step 6: Final answer
    x = 4,519.85

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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.