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Finding the Fourth Proportional to 3,428.02, 4,730.84 and 1,936

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Solution

The fourth proportional to 3,428.02, 4,730.84 and 1,936 is: 2,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.02 : 4,730.84 = 1,936 : x
  2. Step 2: Convert to fraction form
    3,428.02/4,730.84 = 1,936/x
  3. Step 3: Cross multiply
    3,428.02x = 4,730.84 × 1,936
  4. Step 4: Simplify right side
    3,428.02x = 9,158,906.24
  5. Step 5: Solve for x
    x = 9,158,906.24/3,428.02
  6. Step 6: Final answer
    x = 2,671.78

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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.