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Finding the Fourth Proportional to 3,893.24, 5,836.59 and 1,700.34

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Solution

The fourth proportional to 3,893.24, 5,836.59 and 1,700.34 is: 2,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.24 : 5,836.59 = 1,700.34 : x
  2. Step 2: Convert to fraction form
    3,893.24/5,836.59 = 1,700.34/x
  3. Step 3: Cross multiply
    3,893.24x = 5,836.59 × 1,700.34
  4. Step 4: Simplify right side
    3,893.24x = 9,924,187.44
  5. Step 5: Solve for x
    x = 9,924,187.44/3,893.24
  6. Step 6: Final answer
    x = 2,549.09

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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.