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Finding the Fourth Proportional to 4,198.92, 6,300.02 and 1,277.52

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Solution

The fourth proportional to 4,198.92, 6,300.02 and 1,277.52 is: 1,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.92 : 6,300.02 = 1,277.52 : x
  2. Step 2: Convert to fraction form
    4,198.92/6,300.02 = 1,277.52/x
  3. Step 3: Cross multiply
    4,198.92x = 6,300.02 × 1,277.52
  4. Step 4: Simplify right side
    4,198.92x = 8,048,401.55
  5. Step 5: Solve for x
    x = 8,048,401.55/4,198.92
  6. Step 6: Final answer
    x = 1,916.78

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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.