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Finding the Fourth Proportional to 4,067.72, 6,102.03 and 1,602.21

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Solution

The fourth proportional to 4,067.72, 6,102.03 and 1,602.21 is: 2,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.72 : 6,102.03 = 1,602.21 : x
  2. Step 2: Convert to fraction form
    4,067.72/6,102.03 = 1,602.21/x
  3. Step 3: Cross multiply
    4,067.72x = 6,102.03 × 1,602.21
  4. Step 4: Simplify right side
    4,067.72x = 9,776,733.49
  5. Step 5: Solve for x
    x = 9,776,733.49/4,067.72
  6. Step 6: Final answer
    x = 2,403.49

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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.