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Finding the Fourth Proportional to 3,644.93, 5,469.81 and 2,002.63

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Solution

The fourth proportional to 3,644.93, 5,469.81 and 2,002.63 is: 3,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.93 : 5,469.81 = 2,002.63 : x
  2. Step 2: Convert to fraction form
    3,644.93/5,469.81 = 2,002.63/x
  3. Step 3: Cross multiply
    3,644.93x = 5,469.81 × 2,002.63
  4. Step 4: Simplify right side
    3,644.93x = 10,953,985.76
  5. Step 5: Solve for x
    x = 10,953,985.76/3,644.93
  6. Step 6: Final answer
    x = 3,005.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.