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Finding the Fourth Proportional to 4,222.08, 6,333.84 and 1,449

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Solution

The fourth proportional to 4,222.08, 6,333.84 and 1,449 is: 2,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.08 : 6,333.84 = 1,449 : x
  2. Step 2: Convert to fraction form
    4,222.08/6,333.84 = 1,449/x
  3. Step 3: Cross multiply
    4,222.08x = 6,333.84 × 1,449
  4. Step 4: Simplify right side
    4,222.08x = 9,177,734.16
  5. Step 5: Solve for x
    x = 9,177,734.16/4,222.08
  6. Step 6: Final answer
    x = 2,173.75

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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.