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Finding the Fourth Proportional to 6,072.42, 8,380 and 3,553.94

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Solution

The fourth proportional to 6,072.42, 8,380 and 3,553.94 is: 4,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.42 : 8,380 = 3,553.94 : x
  2. Step 2: Convert to fraction form
    6,072.42/8,380 = 3,553.94/x
  3. Step 3: Cross multiply
    6,072.42x = 8,380 × 3,553.94
  4. Step 4: Simplify right side
    6,072.42x = 29,782,017.20
  5. Step 5: Solve for x
    x = 29,782,017.20/6,072.42
  6. Step 6: Final answer
    x = 4,904.47

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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.