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Finding the Fourth Proportional to 5,945.91, 8,920.23 and 2,050.31

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Solution

The fourth proportional to 5,945.91, 8,920.23 and 2,050.31 is: 3,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.91 : 8,920.23 = 2,050.31 : x
  2. Step 2: Convert to fraction form
    5,945.91/8,920.23 = 2,050.31/x
  3. Step 3: Cross multiply
    5,945.91x = 8,920.23 × 2,050.31
  4. Step 4: Simplify right side
    5,945.91x = 18,289,251.38
  5. Step 5: Solve for x
    x = 18,289,251.38/5,945.91
  6. Step 6: Final answer
    x = 3,075.94

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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.