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Finding the Fourth Proportional to 5,976.95, 8,967.94 and 3,202.88

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Solution

The fourth proportional to 5,976.95, 8,967.94 and 3,202.88 is: 4,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.95 : 8,967.94 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    5,976.95/8,967.94 = 3,202.88/x
  3. Step 3: Cross multiply
    5,976.95x = 8,967.94 × 3,202.88
  4. Step 4: Simplify right side
    5,976.95x = 28,723,235.67
  5. Step 5: Solve for x
    x = 28,723,235.67/5,976.95
  6. Step 6: Final answer
    x = 4,805.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.