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Finding the Fourth Proportional to 5,847, 8,075.34 and 3,866.28

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Solution

The fourth proportional to 5,847, 8,075.34 and 3,866.28 is: 5,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847 : 8,075.34 = 3,866.28 : x
  2. Step 2: Convert to fraction form
    5,847/8,075.34 = 3,866.28/x
  3. Step 3: Cross multiply
    5,847x = 8,075.34 × 3,866.28
  4. Step 4: Simplify right side
    5,847x = 31,221,525.54
  5. Step 5: Solve for x
    x = 31,221,525.54/5,847
  6. Step 6: Final answer
    x = 5,339.75

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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.