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Finding the Fourth Proportional to 5,740.74, 7,921.80 and 3,222.99

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Solution

The fourth proportional to 5,740.74, 7,921.80 and 3,222.99 is: 4,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.74 : 7,921.80 = 3,222.99 : x
  2. Step 2: Convert to fraction form
    5,740.74/7,921.80 = 3,222.99/x
  3. Step 3: Cross multiply
    5,740.74x = 7,921.80 × 3,222.99
  4. Step 4: Simplify right side
    5,740.74x = 25,531,882.18
  5. Step 5: Solve for x
    x = 25,531,882.18/5,740.74
  6. Step 6: Final answer
    x = 4,447.49

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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.