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Finding the Fourth Proportional to 5,983.25, 8,975.24 and 1,879.25

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Solution

The fourth proportional to 5,983.25, 8,975.24 and 1,879.25 is: 2,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.25 : 8,975.24 = 1,879.25 : x
  2. Step 2: Convert to fraction form
    5,983.25/8,975.24 = 1,879.25/x
  3. Step 3: Cross multiply
    5,983.25x = 8,975.24 × 1,879.25
  4. Step 4: Simplify right side
    5,983.25x = 16,866,710.37
  5. Step 5: Solve for x
    x = 16,866,710.37/5,983.25
  6. Step 6: Final answer
    x = 2,818.99

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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.