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Finding the Fourth Proportional to 3,628, 5,006.68 and 1,972

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Solution

The fourth proportional to 3,628, 5,006.68 and 1,972 is: 2,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628 : 5,006.68 = 1,972 : x
  2. Step 2: Convert to fraction form
    3,628/5,006.68 = 1,972/x
  3. Step 3: Cross multiply
    3,628x = 5,006.68 × 1,972
  4. Step 4: Simplify right side
    3,628x = 9,873,172.96
  5. Step 5: Solve for x
    x = 9,873,172.96/3,628
  6. Step 6: Final answer
    x = 2,721.38

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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.