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Finding the Fourth Proportional to 3,866.83, 5,336.34 and 2,098.50

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Solution

The fourth proportional to 3,866.83, 5,336.34 and 2,098.50 is: 2,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.83 : 5,336.34 = 2,098.50 : x
  2. Step 2: Convert to fraction form
    3,866.83/5,336.34 = 2,098.50/x
  3. Step 3: Cross multiply
    3,866.83x = 5,336.34 × 2,098.50
  4. Step 4: Simplify right side
    3,866.83x = 11,198,309.49
  5. Step 5: Solve for x
    x = 11,198,309.49/3,866.83
  6. Step 6: Final answer
    x = 2,895.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.