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Finding the Fourth Proportional to 4,937.46, 6,813.62 and 2,947.64

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Solution

The fourth proportional to 4,937.46, 6,813.62 and 2,947.64 is: 4,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.46 : 6,813.62 = 2,947.64 : x
  2. Step 2: Convert to fraction form
    4,937.46/6,813.62 = 2,947.64/x
  3. Step 3: Cross multiply
    4,937.46x = 6,813.62 × 2,947.64
  4. Step 4: Simplify right side
    4,937.46x = 20,084,099.43
  5. Step 5: Solve for x
    x = 20,084,099.43/4,937.46
  6. Step 6: Final answer
    x = 4,067.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.