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Finding the Fourth Proportional to 6,048.38, 8,346.92 and 3,396.44

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Solution

The fourth proportional to 6,048.38, 8,346.92 and 3,396.44 is: 4,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.38 : 8,346.92 = 3,396.44 : x
  2. Step 2: Convert to fraction form
    6,048.38/8,346.92 = 3,396.44/x
  3. Step 3: Cross multiply
    6,048.38x = 8,346.92 × 3,396.44
  4. Step 4: Simplify right side
    6,048.38x = 28,349,816.85
  5. Step 5: Solve for x
    x = 28,349,816.85/6,048.38
  6. Step 6: Final answer
    x = 4,687.17

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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.