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Finding the Fourth Proportional to 4,589.57, 6,333.99 and 2,821.61

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Solution

The fourth proportional to 4,589.57, 6,333.99 and 2,821.61 is: 3,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.57 : 6,333.99 = 2,821.61 : x
  2. Step 2: Convert to fraction form
    4,589.57/6,333.99 = 2,821.61/x
  3. Step 3: Cross multiply
    4,589.57x = 6,333.99 × 2,821.61
  4. Step 4: Simplify right side
    4,589.57x = 17,872,049.52
  5. Step 5: Solve for x
    x = 17,872,049.52/4,589.57
  6. Step 6: Final answer
    x = 3,894.06

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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.