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Finding the Fourth Proportional to 3,561.37, 5,342.10 and 1,252.33

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Solution

The fourth proportional to 3,561.37, 5,342.10 and 1,252.33 is: 1,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.37 : 5,342.10 = 1,252.33 : x
  2. Step 2: Convert to fraction form
    3,561.37/5,342.10 = 1,252.33/x
  3. Step 3: Cross multiply
    3,561.37x = 5,342.10 × 1,252.33
  4. Step 4: Simplify right side
    3,561.37x = 6,690,072.09
  5. Step 5: Solve for x
    x = 6,690,072.09/3,561.37
  6. Step 6: Final answer
    x = 1,878.51

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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.