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Finding the Fourth Proportional to 3,643.11, 5,027.67 and 2,050.20

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Solution

The fourth proportional to 3,643.11, 5,027.67 and 2,050.20 is: 2,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.11 : 5,027.67 = 2,050.20 : x
  2. Step 2: Convert to fraction form
    3,643.11/5,027.67 = 2,050.20/x
  3. Step 3: Cross multiply
    3,643.11x = 5,027.67 × 2,050.20
  4. Step 4: Simplify right side
    3,643.11x = 10,307,729.03
  5. Step 5: Solve for x
    x = 10,307,729.03/3,643.11
  6. Step 6: Final answer
    x = 2,829.38

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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.