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Finding the Fourth Proportional to 4,822.26, 7,234.20 and 2,050.26

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Solution

The fourth proportional to 4,822.26, 7,234.20 and 2,050.26 is: 3,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.26 : 7,234.20 = 2,050.26 : x
  2. Step 2: Convert to fraction form
    4,822.26/7,234.20 = 2,050.26/x
  3. Step 3: Cross multiply
    4,822.26x = 7,234.20 × 2,050.26
  4. Step 4: Simplify right side
    4,822.26x = 14,831,990.89
  5. Step 5: Solve for x
    x = 14,831,990.89/4,822.26
  6. Step 6: Final answer
    x = 3,075.73

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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.