Home / 4,075-5,623.86-2,306.68

Finding the Fourth Proportional to 4,075, 5,623.86 and 2,306.68

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Solution

The fourth proportional to 4,075, 5,623.86 and 2,306.68 is: 3,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 5,623.86 = 2,306.68 : x
  2. Step 2: Convert to fraction form
    4,075/5,623.86 = 2,306.68/x
  3. Step 3: Cross multiply
    4,075x = 5,623.86 × 2,306.68
  4. Step 4: Simplify right side
    4,075x = 12,972,445.38
  5. Step 5: Solve for x
    x = 12,972,445.38/4,075
  6. Step 6: Final answer
    x = 3,183.42

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Why These Related Problems?

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