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Finding the Fourth Proportional to 6,160.37, 8,496.05 and 3,798.41

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Solution

The fourth proportional to 6,160.37, 8,496.05 and 3,798.41 is: 5,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.37 : 8,496.05 = 3,798.41 : x
  2. Step 2: Convert to fraction form
    6,160.37/8,496.05 = 3,798.41/x
  3. Step 3: Cross multiply
    6,160.37x = 8,496.05 × 3,798.41
  4. Step 4: Simplify right side
    6,160.37x = 32,271,481.28
  5. Step 5: Solve for x
    x = 32,271,481.28/6,160.37
  6. Step 6: Final answer
    x = 5,238.56

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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.