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Finding the Fourth Proportional to 3,864.62, 5,298.38 and 3,794.55

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Solution

The fourth proportional to 3,864.62, 5,298.38 and 3,794.55 is: 5,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.62 : 5,298.38 = 3,794.55 : x
  2. Step 2: Convert to fraction form
    3,864.62/5,298.38 = 3,794.55/x
  3. Step 3: Cross multiply
    3,864.62x = 5,298.38 × 3,794.55
  4. Step 4: Simplify right side
    3,864.62x = 20,104,948.86
  5. Step 5: Solve for x
    x = 20,104,948.86/3,864.62
  6. Step 6: Final answer
    x = 5,202.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.