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Finding the Fourth Proportional to 4,893.82, 7,344.36 and 2,704.42

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Solution

The fourth proportional to 4,893.82, 7,344.36 and 2,704.42 is: 4,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.82 : 7,344.36 = 2,704.42 : x
  2. Step 2: Convert to fraction form
    4,893.82/7,344.36 = 2,704.42/x
  3. Step 3: Cross multiply
    4,893.82x = 7,344.36 × 2,704.42
  4. Step 4: Simplify right side
    4,893.82x = 19,862,234.07
  5. Step 5: Solve for x
    x = 19,862,234.07/4,893.82
  6. Step 6: Final answer
    x = 4,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.