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Finding the Fourth Proportional to 3,219.54, 4,825.53 and 1,369.50

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Solution

The fourth proportional to 3,219.54, 4,825.53 and 1,369.50 is: 2,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.54 : 4,825.53 = 1,369.50 : x
  2. Step 2: Convert to fraction form
    3,219.54/4,825.53 = 1,369.50/x
  3. Step 3: Cross multiply
    3,219.54x = 4,825.53 × 1,369.50
  4. Step 4: Simplify right side
    3,219.54x = 6,608,563.34
  5. Step 5: Solve for x
    x = 6,608,563.34/3,219.54
  6. Step 6: Final answer
    x = 2,052.64

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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.