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Finding the Fourth Proportional to 6,139, 8,472 and 3,344.68

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Solution

The fourth proportional to 6,139, 8,472 and 3,344.68 is: 4,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139 : 8,472 = 3,344.68 : x
  2. Step 2: Convert to fraction form
    6,139/8,472 = 3,344.68/x
  3. Step 3: Cross multiply
    6,139x = 8,472 × 3,344.68
  4. Step 4: Simplify right side
    6,139x = 28,336,128.96
  5. Step 5: Solve for x
    x = 28,336,128.96/6,139
  6. Step 6: Final answer
    x = 4,615.76

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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.