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Finding the Fourth Proportional to 4,709.82, 7,067.02 and 1,937.32

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Solution

The fourth proportional to 4,709.82, 7,067.02 and 1,937.32 is: 2,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.82 : 7,067.02 = 1,937.32 : x
  2. Step 2: Convert to fraction form
    4,709.82/7,067.02 = 1,937.32/x
  3. Step 3: Cross multiply
    4,709.82x = 7,067.02 × 1,937.32
  4. Step 4: Simplify right side
    4,709.82x = 13,691,079.19
  5. Step 5: Solve for x
    x = 13,691,079.19/4,709.82
  6. Step 6: Final answer
    x = 2,906.92

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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.