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Finding the Fourth Proportional to 3,942.66, 5,914.84 and 1,477.38

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Solution

The fourth proportional to 3,942.66, 5,914.84 and 1,477.38 is: 2,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.66 : 5,914.84 = 1,477.38 : x
  2. Step 2: Convert to fraction form
    3,942.66/5,914.84 = 1,477.38/x
  3. Step 3: Cross multiply
    3,942.66x = 5,914.84 × 1,477.38
  4. Step 4: Simplify right side
    3,942.66x = 8,738,466.32
  5. Step 5: Solve for x
    x = 8,738,466.32/3,942.66
  6. Step 6: Final answer
    x = 2,216.39

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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.