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Finding the Fourth Proportional to 5,207.36, 7,805.04 and 2,894.24

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Solution

The fourth proportional to 5,207.36, 7,805.04 and 2,894.24 is: 4,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.36 : 7,805.04 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    5,207.36/7,805.04 = 2,894.24/x
  3. Step 3: Cross multiply
    5,207.36x = 7,805.04 × 2,894.24
  4. Step 4: Simplify right side
    5,207.36x = 22,589,658.97
  5. Step 5: Solve for x
    x = 22,589,658.97/5,207.36
  6. Step 6: Final answer
    x = 4,338.03

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