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Finding the Fourth Proportional to 6,108, 8,429.04 and 3,313.50

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Solution

The fourth proportional to 6,108, 8,429.04 and 3,313.50 is: 4,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108 : 8,429.04 = 3,313.50 : x
  2. Step 2: Convert to fraction form
    6,108/8,429.04 = 3,313.50/x
  3. Step 3: Cross multiply
    6,108x = 8,429.04 × 3,313.50
  4. Step 4: Simplify right side
    6,108x = 27,929,624.04
  5. Step 5: Solve for x
    x = 27,929,624.04/6,108
  6. Step 6: Final answer
    x = 4,572.63

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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.