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Finding the Fourth Proportional to 4,965.11, 7,450.80 and 2,775.27

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Solution

The fourth proportional to 4,965.11, 7,450.80 and 2,775.27 is: 4,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.11 : 7,450.80 = 2,775.27 : x
  2. Step 2: Convert to fraction form
    4,965.11/7,450.80 = 2,775.27/x
  3. Step 3: Cross multiply
    4,965.11x = 7,450.80 × 2,775.27
  4. Step 4: Simplify right side
    4,965.11x = 20,677,971.31
  5. Step 5: Solve for x
    x = 20,677,971.31/4,965.11
  6. Step 6: Final answer
    x = 4,164.66

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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.