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Finding the Fourth Proportional to 4,777.18, 7,164.81 and 3,858.06

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Solution

The fourth proportional to 4,777.18, 7,164.81 and 3,858.06 is: 5,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.18 : 7,164.81 = 3,858.06 : x
  2. Step 2: Convert to fraction form
    4,777.18/7,164.81 = 3,858.06/x
  3. Step 3: Cross multiply
    4,777.18x = 7,164.81 × 3,858.06
  4. Step 4: Simplify right side
    4,777.18x = 27,642,266.87
  5. Step 5: Solve for x
    x = 27,642,266.87/4,777.18
  6. Step 6: Final answer
    x = 5,786.31

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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.