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Finding the Fourth Proportional to 3,563.93, 5,344.52 and 2,464.97

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Solution

The fourth proportional to 3,563.93, 5,344.52 and 2,464.97 is: 3,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.93 : 5,344.52 = 2,464.97 : x
  2. Step 2: Convert to fraction form
    3,563.93/5,344.52 = 2,464.97/x
  3. Step 3: Cross multiply
    3,563.93x = 5,344.52 × 2,464.97
  4. Step 4: Simplify right side
    3,563.93x = 13,174,042.42
  5. Step 5: Solve for x
    x = 13,174,042.42/3,563.93
  6. Step 6: Final answer
    x = 3,696.49

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Why These Related Problems?

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