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Finding the Fourth Proportional to 5,739.50, 8,608.01 and 1,844.22

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Solution

The fourth proportional to 5,739.50, 8,608.01 and 1,844.22 is: 2,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.50 : 8,608.01 = 1,844.22 : x
  2. Step 2: Convert to fraction form
    5,739.50/8,608.01 = 1,844.22/x
  3. Step 3: Cross multiply
    5,739.50x = 8,608.01 × 1,844.22
  4. Step 4: Simplify right side
    5,739.50x = 15,875,064.20
  5. Step 5: Solve for x
    x = 15,875,064.20/5,739.50
  6. Step 6: Final answer
    x = 2,765.93

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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.