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Finding the Fourth Proportional to 3,873.42, 5,336.28 and 3,778.65

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Solution

The fourth proportional to 3,873.42, 5,336.28 and 3,778.65 is: 5,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.42 : 5,336.28 = 3,778.65 : x
  2. Step 2: Convert to fraction form
    3,873.42/5,336.28 = 3,778.65/x
  3. Step 3: Cross multiply
    3,873.42x = 5,336.28 × 3,778.65
  4. Step 4: Simplify right side
    3,873.42x = 20,163,934.42
  5. Step 5: Solve for x
    x = 20,163,934.42/3,873.42
  6. Step 6: Final answer
    x = 5,205.72

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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.