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Finding the Fourth Proportional to 5,611.64, 7,744.02 and 3,222

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Solution

The fourth proportional to 5,611.64, 7,744.02 and 3,222 is: 4,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.64 : 7,744.02 = 3,222 : x
  2. Step 2: Convert to fraction form
    5,611.64/7,744.02 = 3,222/x
  3. Step 3: Cross multiply
    5,611.64x = 7,744.02 × 3,222
  4. Step 4: Simplify right side
    5,611.64x = 24,951,216.33
  5. Step 5: Solve for x
    x = 24,951,216.33/5,611.64
  6. Step 6: Final answer
    x = 4,446.33

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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.