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Finding the Fourth Proportional to 3,893.36, 5,837.04 and 1,294.88

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Solution

The fourth proportional to 3,893.36, 5,837.04 and 1,294.88 is: 1,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.36 : 5,837.04 = 1,294.88 : x
  2. Step 2: Convert to fraction form
    3,893.36/5,837.04 = 1,294.88/x
  3. Step 3: Cross multiply
    3,893.36x = 5,837.04 × 1,294.88
  4. Step 4: Simplify right side
    3,893.36x = 7,558,266.36
  5. Step 5: Solve for x
    x = 7,558,266.36/3,893.36
  6. Step 6: Final answer
    x = 1,941.32

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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.