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Finding the Fourth Proportional to 4,344.93, 6,517.49 and 2,153.07

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Solution

The fourth proportional to 4,344.93, 6,517.49 and 2,153.07 is: 3,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.93 : 6,517.49 = 2,153.07 : x
  2. Step 2: Convert to fraction form
    4,344.93/6,517.49 = 2,153.07/x
  3. Step 3: Cross multiply
    4,344.93x = 6,517.49 × 2,153.07
  4. Step 4: Simplify right side
    4,344.93x = 14,032,601.43
  5. Step 5: Solve for x
    x = 14,032,601.43/4,344.93
  6. Step 6: Final answer
    x = 3,229.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.