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Finding the Fourth Proportional to 6,704.88, 9,252.92 and 3,721.02

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Solution

The fourth proportional to 6,704.88, 9,252.92 and 3,721.02 is: 5,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.88 : 9,252.92 = 3,721.02 : x
  2. Step 2: Convert to fraction form
    6,704.88/9,252.92 = 3,721.02/x
  3. Step 3: Cross multiply
    6,704.88x = 9,252.92 × 3,721.02
  4. Step 4: Simplify right side
    6,704.88x = 34,430,300.38
  5. Step 5: Solve for x
    x = 34,430,300.38/6,704.88
  6. Step 6: Final answer
    x = 5,135.11

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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.