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Finding the Fourth Proportional to 6,193.36, 8,550.84 and 3,838

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Solution

The fourth proportional to 6,193.36, 8,550.84 and 3,838 is: 5,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.36 : 8,550.84 = 3,838 : x
  2. Step 2: Convert to fraction form
    6,193.36/8,550.84 = 3,838/x
  3. Step 3: Cross multiply
    6,193.36x = 8,550.84 × 3,838
  4. Step 4: Simplify right side
    6,193.36x = 32,818,123.92
  5. Step 5: Solve for x
    x = 32,818,123.92/6,193.36
  6. Step 6: Final answer
    x = 5,298.92

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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.