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Finding the Fourth Proportional to 6,276, 8,663.04 and 3,792

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Solution

The fourth proportional to 6,276, 8,663.04 and 3,792 is: 5,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276 : 8,663.04 = 3,792 : x
  2. Step 2: Convert to fraction form
    6,276/8,663.04 = 3,792/x
  3. Step 3: Cross multiply
    6,276x = 8,663.04 × 3,792
  4. Step 4: Simplify right side
    6,276x = 32,850,247.68
  5. Step 5: Solve for x
    x = 32,850,247.68/6,276
  6. Step 6: Final answer
    x = 5,234.27

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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.