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Finding the Fourth Proportional to 4,243.38, 5,855.93 and 2,380.38

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Solution

The fourth proportional to 4,243.38, 5,855.93 and 2,380.38 is: 3,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.38 : 5,855.93 = 2,380.38 : x
  2. Step 2: Convert to fraction form
    4,243.38/5,855.93 = 2,380.38/x
  3. Step 3: Cross multiply
    4,243.38x = 5,855.93 × 2,380.38
  4. Step 4: Simplify right side
    4,243.38x = 13,939,338.65
  5. Step 5: Solve for x
    x = 13,939,338.65/4,243.38
  6. Step 6: Final answer
    x = 3,284.96

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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.