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Finding the Fourth Proportional to 3,629, 5,008.06 and 1,973

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Solution

The fourth proportional to 3,629, 5,008.06 and 1,973 is: 2,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629 : 5,008.06 = 1,973 : x
  2. Step 2: Convert to fraction form
    3,629/5,008.06 = 1,973/x
  3. Step 3: Cross multiply
    3,629x = 5,008.06 × 1,973
  4. Step 4: Simplify right side
    3,629x = 9,880,902.38
  5. Step 5: Solve for x
    x = 9,880,902.38/3,629
  6. Step 6: Final answer
    x = 2,722.76

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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.