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Finding the Fourth Proportional to 3,698.12, 5,548.07 and 1,232.96

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Solution

The fourth proportional to 3,698.12, 5,548.07 and 1,232.96 is: 1,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.12 : 5,548.07 = 1,232.96 : x
  2. Step 2: Convert to fraction form
    3,698.12/5,548.07 = 1,232.96/x
  3. Step 3: Cross multiply
    3,698.12x = 5,548.07 × 1,232.96
  4. Step 4: Simplify right side
    3,698.12x = 6,840,542.22
  5. Step 5: Solve for x
    x = 6,840,542.22/3,698.12
  6. Step 6: Final answer
    x = 1,849.74

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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.