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Finding the Fourth Proportional to 4,196.46, 6,295.48 and 1,422.38

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Solution

The fourth proportional to 4,196.46, 6,295.48 and 1,422.38 is: 2,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.46 : 6,295.48 = 1,422.38 : x
  2. Step 2: Convert to fraction form
    4,196.46/6,295.48 = 1,422.38/x
  3. Step 3: Cross multiply
    4,196.46x = 6,295.48 × 1,422.38
  4. Step 4: Simplify right side
    4,196.46x = 8,954,564.84
  5. Step 5: Solve for x
    x = 8,954,564.84/4,196.46
  6. Step 6: Final answer
    x = 2,133.84

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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.