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Finding the Fourth Proportional to 3,222.51, 4,795.16 and 3,211.57

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Solution

The fourth proportional to 3,222.51, 4,795.16 and 3,211.57 is: 4,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.51 : 4,795.16 = 3,211.57 : x
  2. Step 2: Convert to fraction form
    3,222.51/4,795.16 = 3,211.57/x
  3. Step 3: Cross multiply
    3,222.51x = 4,795.16 × 3,211.57
  4. Step 4: Simplify right side
    3,222.51x = 15,399,975.94
  5. Step 5: Solve for x
    x = 15,399,975.94/3,222.51
  6. Step 6: Final answer
    x = 4,778.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.