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Finding the Fourth Proportional to 4,196.43, 6,295.23 and 1,856.25

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Solution

The fourth proportional to 4,196.43, 6,295.23 and 1,856.25 is: 2,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.43 : 6,295.23 = 1,856.25 : x
  2. Step 2: Convert to fraction form
    4,196.43/6,295.23 = 1,856.25/x
  3. Step 3: Cross multiply
    4,196.43x = 6,295.23 × 1,856.25
  4. Step 4: Simplify right side
    4,196.43x = 11,685,520.69
  5. Step 5: Solve for x
    x = 11,685,520.69/4,196.43
  6. Step 6: Final answer
    x = 2,784.63

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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.