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Finding the Fourth Proportional to 3,809.22, 5,715.14 and 2,722.06

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Solution

The fourth proportional to 3,809.22, 5,715.14 and 2,722.06 is: 4,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.22 : 5,715.14 = 2,722.06 : x
  2. Step 2: Convert to fraction form
    3,809.22/5,715.14 = 2,722.06/x
  3. Step 3: Cross multiply
    3,809.22x = 5,715.14 × 2,722.06
  4. Step 4: Simplify right side
    3,809.22x = 15,556,953.99
  5. Step 5: Solve for x
    x = 15,556,953.99/3,809.22
  6. Step 6: Final answer
    x = 4,084.03

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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.