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Finding the Fourth Proportional to 4,936.30, 6,810.14 and 2,839.30

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Solution

The fourth proportional to 4,936.30, 6,810.14 and 2,839.30 is: 3,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.30 : 6,810.14 = 2,839.30 : x
  2. Step 2: Convert to fraction form
    4,936.30/6,810.14 = 2,839.30/x
  3. Step 3: Cross multiply
    4,936.30x = 6,810.14 × 2,839.30
  4. Step 4: Simplify right side
    4,936.30x = 19,335,989.35
  5. Step 5: Solve for x
    x = 19,335,989.35/4,936.30
  6. Step 6: Final answer
    x = 3,917.11

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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.