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Finding the Fourth Proportional to 4,196.78, 6,293.06 and 1,274.72

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Solution

The fourth proportional to 4,196.78, 6,293.06 and 1,274.72 is: 1,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.78 : 6,293.06 = 1,274.72 : x
  2. Step 2: Convert to fraction form
    4,196.78/6,293.06 = 1,274.72/x
  3. Step 3: Cross multiply
    4,196.78x = 6,293.06 × 1,274.72
  4. Step 4: Simplify right side
    4,196.78x = 8,021,889.44
  5. Step 5: Solve for x
    x = 8,021,889.44/4,196.78
  6. Step 6: Final answer
    x = 1,911.44

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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.