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Finding the Fourth Proportional to 5,821.74, 8,033.70 and 3,169.18

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Solution

The fourth proportional to 5,821.74, 8,033.70 and 3,169.18 is: 4,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.74 : 8,033.70 = 3,169.18 : x
  2. Step 2: Convert to fraction form
    5,821.74/8,033.70 = 3,169.18/x
  3. Step 3: Cross multiply
    5,821.74x = 8,033.70 × 3,169.18
  4. Step 4: Simplify right side
    5,821.74x = 25,460,241.37
  5. Step 5: Solve for x
    x = 25,460,241.37/5,821.74
  6. Step 6: Final answer
    x = 4,373.30

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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.