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Finding the Fourth Proportional to 4,552.75, 6,830.85 and 1,474.75

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Solution

The fourth proportional to 4,552.75, 6,830.85 and 1,474.75 is: 2,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.75 : 6,830.85 = 1,474.75 : x
  2. Step 2: Convert to fraction form
    4,552.75/6,830.85 = 1,474.75/x
  3. Step 3: Cross multiply
    4,552.75x = 6,830.85 × 1,474.75
  4. Step 4: Simplify right side
    4,552.75x = 10,073,796.04
  5. Step 5: Solve for x
    x = 10,073,796.04/4,552.75
  6. Step 6: Final answer
    x = 2,212.68

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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.