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Finding the Fourth Proportional to 3,697.58, 5,546.21 and 1,232.31

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Solution

The fourth proportional to 3,697.58, 5,546.21 and 1,232.31 is: 1,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.58 : 5,546.21 = 1,232.31 : x
  2. Step 2: Convert to fraction form
    3,697.58/5,546.21 = 1,232.31/x
  3. Step 3: Cross multiply
    3,697.58x = 5,546.21 × 1,232.31
  4. Step 4: Simplify right side
    3,697.58x = 6,834,650.05
  5. Step 5: Solve for x
    x = 6,834,650.05/3,697.58
  6. Step 6: Final answer
    x = 1,848.41

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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.