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Finding the Fourth Proportional to 3,424.62, 5,133.84 and 1,231.81

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Solution

The fourth proportional to 3,424.62, 5,133.84 and 1,231.81 is: 1,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.62 : 5,133.84 = 1,231.81 : x
  2. Step 2: Convert to fraction form
    3,424.62/5,133.84 = 1,231.81/x
  3. Step 3: Cross multiply
    3,424.62x = 5,133.84 × 1,231.81
  4. Step 4: Simplify right side
    3,424.62x = 6,323,904.93
  5. Step 5: Solve for x
    x = 6,323,904.93/3,424.62
  6. Step 6: Final answer
    x = 1,846.60

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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.