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Finding the Fourth Proportional to 3,644.56, 5,029.50 and 1,988.56

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Solution

The fourth proportional to 3,644.56, 5,029.50 and 1,988.56 is: 2,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.56 : 5,029.50 = 1,988.56 : x
  2. Step 2: Convert to fraction form
    3,644.56/5,029.50 = 1,988.56/x
  3. Step 3: Cross multiply
    3,644.56x = 5,029.50 × 1,988.56
  4. Step 4: Simplify right side
    3,644.56x = 10,001,462.52
  5. Step 5: Solve for x
    x = 10,001,462.52/3,644.56
  6. Step 6: Final answer
    x = 2,744.22

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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.