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Finding the Fourth Proportional to 3,628, 5,006.22 and 2,056.36

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Solution

The fourth proportional to 3,628, 5,006.22 and 2,056.36 is: 2,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628 : 5,006.22 = 2,056.36 : x
  2. Step 2: Convert to fraction form
    3,628/5,006.22 = 2,056.36/x
  3. Step 3: Cross multiply
    3,628x = 5,006.22 × 2,056.36
  4. Step 4: Simplify right side
    3,628x = 10,294,590.56
  5. Step 5: Solve for x
    x = 10,294,590.56/3,628
  6. Step 6: Final answer
    x = 2,837.54

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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.