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Finding the Fourth Proportional to 5,889, 8,830.44 and 1,992

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Solution

The fourth proportional to 5,889, 8,830.44 and 1,992 is: 2,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889 : 8,830.44 = 1,992 : x
  2. Step 2: Convert to fraction form
    5,889/8,830.44 = 1,992/x
  3. Step 3: Cross multiply
    5,889x = 8,830.44 × 1,992
  4. Step 4: Simplify right side
    5,889x = 17,590,236.48
  5. Step 5: Solve for x
    x = 17,590,236.48/5,889
  6. Step 6: Final answer
    x = 2,986.96

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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.