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Finding the Fourth Proportional to 4,067.82, 6,102.14 and 1,470.56

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Solution

The fourth proportional to 4,067.82, 6,102.14 and 1,470.56 is: 2,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.82 : 6,102.14 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    4,067.82/6,102.14 = 1,470.56/x
  3. Step 3: Cross multiply
    4,067.82x = 6,102.14 × 1,470.56
  4. Step 4: Simplify right side
    4,067.82x = 8,973,525.13
  5. Step 5: Solve for x
    x = 8,973,525.13/4,067.82
  6. Step 6: Final answer
    x = 2,205.98

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