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Finding the Fourth Proportional to 3,794.16, 5,235.74 and 2,115.74

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Solution

The fourth proportional to 3,794.16, 5,235.74 and 2,115.74 is: 2,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.16 : 5,235.74 = 2,115.74 : x
  2. Step 2: Convert to fraction form
    3,794.16/5,235.74 = 2,115.74/x
  3. Step 3: Cross multiply
    3,794.16x = 5,235.74 × 2,115.74
  4. Step 4: Simplify right side
    3,794.16x = 11,077,464.55
  5. Step 5: Solve for x
    x = 11,077,464.55/3,794.16
  6. Step 6: Final answer
    x = 2,919.61

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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.