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Finding the Fourth Proportional to 4,776.68, 7,164.06 and 3,857.56

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Solution

The fourth proportional to 4,776.68, 7,164.06 and 3,857.56 is: 5,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.68 : 7,164.06 = 3,857.56 : x
  2. Step 2: Convert to fraction form
    4,776.68/7,164.06 = 3,857.56/x
  3. Step 3: Cross multiply
    4,776.68x = 7,164.06 × 3,857.56
  4. Step 4: Simplify right side
    4,776.68x = 27,635,791.29
  5. Step 5: Solve for x
    x = 27,635,791.29/4,776.68
  6. Step 6: Final answer
    x = 5,785.56

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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.