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Finding the Fourth Proportional to 6,704.88, 9,252.41 and 3,679.93

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Solution

The fourth proportional to 6,704.88, 9,252.41 and 3,679.93 is: 5,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.88 : 9,252.41 = 3,679.93 : x
  2. Step 2: Convert to fraction form
    6,704.88/9,252.41 = 3,679.93/x
  3. Step 3: Cross multiply
    6,704.88x = 9,252.41 × 3,679.93
  4. Step 4: Simplify right side
    6,704.88x = 34,048,250.52
  5. Step 5: Solve for x
    x = 34,048,250.52/6,704.88
  6. Step 6: Final answer
    x = 5,078.13

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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.