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Finding the Fourth Proportional to 5,821.66, 8,033.82 and 3,169.06

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Solution

The fourth proportional to 5,821.66, 8,033.82 and 3,169.06 is: 4,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.66 : 8,033.82 = 3,169.06 : x
  2. Step 2: Convert to fraction form
    5,821.66/8,033.82 = 3,169.06/x
  3. Step 3: Cross multiply
    5,821.66x = 8,033.82 × 3,169.06
  4. Step 4: Simplify right side
    5,821.66x = 25,459,657.61
  5. Step 5: Solve for x
    x = 25,459,657.61/5,821.66
  6. Step 6: Final answer
    x = 4,373.26

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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.