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Finding the Fourth Proportional to 4,142.64, 6,226.24 and 3,837.08

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Solution

The fourth proportional to 4,142.64, 6,226.24 and 3,837.08 is: 5,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.64 : 6,226.24 = 3,837.08 : x
  2. Step 2: Convert to fraction form
    4,142.64/6,226.24 = 3,837.08/x
  3. Step 3: Cross multiply
    4,142.64x = 6,226.24 × 3,837.08
  4. Step 4: Simplify right side
    4,142.64x = 23,890,580.98
  5. Step 5: Solve for x
    x = 23,890,580.98/4,142.64
  6. Step 6: Final answer
    x = 5,766.99

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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.