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Finding the Fourth Proportional to 5,821.84, 8,033.46 and 3,304.24

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Solution

The fourth proportional to 5,821.84, 8,033.46 and 3,304.24 is: 4,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.84 : 8,033.46 = 3,304.24 : x
  2. Step 2: Convert to fraction form
    5,821.84/8,033.46 = 3,304.24/x
  3. Step 3: Cross multiply
    5,821.84x = 8,033.46 × 3,304.24
  4. Step 4: Simplify right side
    5,821.84x = 26,544,479.87
  5. Step 5: Solve for x
    x = 26,544,479.87/5,821.84
  6. Step 6: Final answer
    x = 4,559.47

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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.