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Finding the Fourth Proportional to 3,698.62, 5,113.94 and 3,231.74

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Solution

The fourth proportional to 3,698.62, 5,113.94 and 3,231.74 is: 4,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.62 : 5,113.94 = 3,231.74 : x
  2. Step 2: Convert to fraction form
    3,698.62/5,113.94 = 3,231.74/x
  3. Step 3: Cross multiply
    3,698.62x = 5,113.94 × 3,231.74
  4. Step 4: Simplify right side
    3,698.62x = 16,526,921.08
  5. Step 5: Solve for x
    x = 16,526,921.08/3,698.62
  6. Step 6: Final answer
    x = 4,468.41

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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.