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Finding the Fourth Proportional to 6,704.59, 9,252.86 and 3,721

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Solution

The fourth proportional to 6,704.59, 9,252.86 and 3,721 is: 5,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.59 : 9,252.86 = 3,721 : x
  2. Step 2: Convert to fraction form
    6,704.59/9,252.86 = 3,721/x
  3. Step 3: Cross multiply
    6,704.59x = 9,252.86 × 3,721
  4. Step 4: Simplify right side
    6,704.59x = 34,429,892.06
  5. Step 5: Solve for x
    x = 34,429,892.06/6,704.59
  6. Step 6: Final answer
    x = 5,135.27

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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.