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Finding the Fourth Proportional to 7,222.59, 10,834.29 and 2,028.06

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Solution

The fourth proportional to 7,222.59, 10,834.29 and 2,028.06 is: 3,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.59 : 10,834.29 = 2,028.06 : x
  2. Step 2: Convert to fraction form
    7,222.59/10,834.29 = 2,028.06/x
  3. Step 3: Cross multiply
    7,222.59x = 10,834.29 × 2,028.06
  4. Step 4: Simplify right side
    7,222.59x = 21,972,624.87
  5. Step 5: Solve for x
    x = 21,972,624.87/7,222.59
  6. Step 6: Final answer
    x = 3,042.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.