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Finding the Fourth Proportional to 3,821, 5,274.90 and 3,590.60

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Solution

The fourth proportional to 3,821, 5,274.90 and 3,590.60 is: 4,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821 : 5,274.90 = 3,590.60 : x
  2. Step 2: Convert to fraction form
    3,821/5,274.90 = 3,590.60/x
  3. Step 3: Cross multiply
    3,821x = 5,274.90 × 3,590.60
  4. Step 4: Simplify right side
    3,821x = 18,940,055.94
  5. Step 5: Solve for x
    x = 18,940,055.94/3,821
  6. Step 6: Final answer
    x = 4,956.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.