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Finding the Fourth Proportional to 6,098.44, 8,415.96 and 3,579.94

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Solution

The fourth proportional to 6,098.44, 8,415.96 and 3,579.94 is: 4,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.44 : 8,415.96 = 3,579.94 : x
  2. Step 2: Convert to fraction form
    6,098.44/8,415.96 = 3,579.94/x
  3. Step 3: Cross multiply
    6,098.44x = 8,415.96 × 3,579.94
  4. Step 4: Simplify right side
    6,098.44x = 30,128,631.84
  5. Step 5: Solve for x
    x = 30,128,631.84/6,098.44
  6. Step 6: Final answer
    x = 4,940.38

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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.