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Finding the Fourth Proportional to 3,669.63, 5,500.13 and 1,475.43

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Solution

The fourth proportional to 3,669.63, 5,500.13 and 1,475.43 is: 2,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.63 : 5,500.13 = 1,475.43 : x
  2. Step 2: Convert to fraction form
    3,669.63/5,500.13 = 1,475.43/x
  3. Step 3: Cross multiply
    3,669.63x = 5,500.13 × 1,475.43
  4. Step 4: Simplify right side
    3,669.63x = 8,115,049.43
  5. Step 5: Solve for x
    x = 8,115,049.43/3,669.63
  6. Step 6: Final answer
    x = 2,211.41

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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.