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Finding the Fourth Proportional to 5,920.25, 8,169.84 and 3,267.59

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Solution

The fourth proportional to 5,920.25, 8,169.84 and 3,267.59 is: 4,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.25 : 8,169.84 = 3,267.59 : x
  2. Step 2: Convert to fraction form
    5,920.25/8,169.84 = 3,267.59/x
  3. Step 3: Cross multiply
    5,920.25x = 8,169.84 × 3,267.59
  4. Step 4: Simplify right side
    5,920.25x = 26,695,646.64
  5. Step 5: Solve for x
    x = 26,695,646.64/5,920.25
  6. Step 6: Final answer
    x = 4,509.21

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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.