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Finding the Fourth Proportional to 3,271.95, 4,507.23 and 3,105.22

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Solution

The fourth proportional to 3,271.95, 4,507.23 and 3,105.22 is: 4,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.95 : 4,507.23 = 3,105.22 : x
  2. Step 2: Convert to fraction form
    3,271.95/4,507.23 = 3,105.22/x
  3. Step 3: Cross multiply
    3,271.95x = 4,507.23 × 3,105.22
  4. Step 4: Simplify right side
    3,271.95x = 13,995,940.74
  5. Step 5: Solve for x
    x = 13,995,940.74/3,271.95
  6. Step 6: Final answer
    x = 4,277.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.