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Finding the Fourth Proportional to 4,142.68, 6,214.02 and 3,889.24

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Solution

The fourth proportional to 4,142.68, 6,214.02 and 3,889.24 is: 5,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.68 : 6,214.02 = 3,889.24 : x
  2. Step 2: Convert to fraction form
    4,142.68/6,214.02 = 3,889.24/x
  3. Step 3: Cross multiply
    4,142.68x = 6,214.02 × 3,889.24
  4. Step 4: Simplify right side
    4,142.68x = 24,167,815.14
  5. Step 5: Solve for x
    x = 24,167,815.14/4,142.68
  6. Step 6: Final answer
    x = 5,833.86

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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.