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Finding the Fourth Proportional to 3,698.56, 5,544.24 and 1,232.11

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Solution

The fourth proportional to 3,698.56, 5,544.24 and 1,232.11 is: 1,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.56 : 5,544.24 = 1,232.11 : x
  2. Step 2: Convert to fraction form
    3,698.56/5,544.24 = 1,232.11/x
  3. Step 3: Cross multiply
    3,698.56x = 5,544.24 × 1,232.11
  4. Step 4: Simplify right side
    3,698.56x = 6,831,113.55
  5. Step 5: Solve for x
    x = 6,831,113.55/3,698.56
  6. Step 6: Final answer
    x = 1,846.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.