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Finding the Fourth Proportional to 6,098.92, 8,384.20 and 5,245.05

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Solution

The fourth proportional to 6,098.92, 8,384.20 and 5,245.05 is: 7,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.92 : 8,384.20 = 5,245.05 : x
  2. Step 2: Convert to fraction form
    6,098.92/8,384.20 = 5,245.05/x
  3. Step 3: Cross multiply
    6,098.92x = 8,384.20 × 5,245.05
  4. Step 4: Simplify right side
    6,098.92x = 43,975,480.06
  5. Step 5: Solve for x
    x = 43,975,480.06/6,098.92
  6. Step 6: Final answer
    x = 7,210.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.