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Finding the Fourth Proportional to 4,099.92, 6,147.96 and 1,362

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Solution

The fourth proportional to 4,099.92, 6,147.96 and 1,362 is: 2,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.92 : 6,147.96 = 1,362 : x
  2. Step 2: Convert to fraction form
    4,099.92/6,147.96 = 1,362/x
  3. Step 3: Cross multiply
    4,099.92x = 6,147.96 × 1,362
  4. Step 4: Simplify right side
    4,099.92x = 8,373,521.52
  5. Step 5: Solve for x
    x = 8,373,521.52/4,099.92
  6. Step 6: Final answer
    x = 2,042.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.