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Finding the Fourth Proportional to 4,857.56, 6,694.10 and 3,362.70

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Solution

The fourth proportional to 4,857.56, 6,694.10 and 3,362.70 is: 4,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.56 : 6,694.10 = 3,362.70 : x
  2. Step 2: Convert to fraction form
    4,857.56/6,694.10 = 3,362.70/x
  3. Step 3: Cross multiply
    4,857.56x = 6,694.10 × 3,362.70
  4. Step 4: Simplify right side
    4,857.56x = 22,510,250.07
  5. Step 5: Solve for x
    x = 22,510,250.07/4,857.56
  6. Step 6: Final answer
    x = 4,634.07

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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.