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Finding the Fourth Proportional to 3,894.72, 5,830.56 and 2,351.04

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Solution

The fourth proportional to 3,894.72, 5,830.56 and 2,351.04 is: 3,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.72 : 5,830.56 = 2,351.04 : x
  2. Step 2: Convert to fraction form
    3,894.72/5,830.56 = 2,351.04/x
  3. Step 3: Cross multiply
    3,894.72x = 5,830.56 × 2,351.04
  4. Step 4: Simplify right side
    3,894.72x = 13,707,879.78
  5. Step 5: Solve for x
    x = 13,707,879.78/3,894.72
  6. Step 6: Final answer
    x = 3,519.61

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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.