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Finding the Fourth Proportional to 5,920.46, 8,169.86 and 3,267.86

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Solution

The fourth proportional to 5,920.46, 8,169.86 and 3,267.86 is: 4,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.46 : 8,169.86 = 3,267.86 : x
  2. Step 2: Convert to fraction form
    5,920.46/8,169.86 = 3,267.86/x
  3. Step 3: Cross multiply
    5,920.46x = 8,169.86 × 3,267.86
  4. Step 4: Simplify right side
    5,920.46x = 26,697,971.98
  5. Step 5: Solve for x
    x = 26,697,971.98/5,920.46
  6. Step 6: Final answer
    x = 4,509.44

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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.