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Finding the Fourth Proportional to 3,837.03, 5,298.71 and 3,629.94

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Solution

The fourth proportional to 3,837.03, 5,298.71 and 3,629.94 is: 5,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.03 : 5,298.71 = 3,629.94 : x
  2. Step 2: Convert to fraction form
    3,837.03/5,298.71 = 3,629.94/x
  3. Step 3: Cross multiply
    3,837.03x = 5,298.71 × 3,629.94
  4. Step 4: Simplify right side
    3,837.03x = 19,233,999.38
  5. Step 5: Solve for x
    x = 19,233,999.38/3,837.03
  6. Step 6: Final answer
    x = 5,012.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.