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Finding the Fourth Proportional to 3,837.94, 5,753.02 and 1,496.48

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Solution

The fourth proportional to 3,837.94, 5,753.02 and 1,496.48 is: 2,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.94 : 5,753.02 = 1,496.48 : x
  2. Step 2: Convert to fraction form
    3,837.94/5,753.02 = 1,496.48/x
  3. Step 3: Cross multiply
    3,837.94x = 5,753.02 × 1,496.48
  4. Step 4: Simplify right side
    3,837.94x = 8,609,279.37
  5. Step 5: Solve for x
    x = 8,609,279.37/3,837.94
  6. Step 6: Final answer
    x = 2,243.20

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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.