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Finding the Fourth Proportional to 4,022.54, 6,027.15 and 2,846.71

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Solution

The fourth proportional to 4,022.54, 6,027.15 and 2,846.71 is: 4,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022.54 : 6,027.15 = 2,846.71 : x
  2. Step 2: Convert to fraction form
    4,022.54/6,027.15 = 2,846.71/x
  3. Step 3: Cross multiply
    4,022.54x = 6,027.15 × 2,846.71
  4. Step 4: Simplify right side
    4,022.54x = 17,157,548.18
  5. Step 5: Solve for x
    x = 17,157,548.18/4,022.54
  6. Step 6: Final answer
    x = 4,265.35

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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.