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Finding the Fourth Proportional to 4,196.41, 6,293.90 and 1,274.54

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Solution

The fourth proportional to 4,196.41, 6,293.90 and 1,274.54 is: 1,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.41 : 6,293.90 = 1,274.54 : x
  2. Step 2: Convert to fraction form
    4,196.41/6,293.90 = 1,274.54/x
  3. Step 3: Cross multiply
    4,196.41x = 6,293.90 × 1,274.54
  4. Step 4: Simplify right side
    4,196.41x = 8,021,799.02
  5. Step 5: Solve for x
    x = 8,021,799.02/4,196.41
  6. Step 6: Final answer
    x = 1,911.59

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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.