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Finding the Fourth Proportional to 5,189.24, 7,775.76 and 2,999

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Solution

The fourth proportional to 5,189.24, 7,775.76 and 2,999 is: 4,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.24 : 7,775.76 = 2,999 : x
  2. Step 2: Convert to fraction form
    5,189.24/7,775.76 = 2,999/x
  3. Step 3: Cross multiply
    5,189.24x = 7,775.76 × 2,999
  4. Step 4: Simplify right side
    5,189.24x = 23,319,504.24
  5. Step 5: Solve for x
    x = 23,319,504.24/5,189.24
  6. Step 6: Final answer
    x = 4,493.82

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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.