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Finding the Fourth Proportional to 5,825.89, 8,739.03 and 1,930.18

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Solution

The fourth proportional to 5,825.89, 8,739.03 and 1,930.18 is: 2,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.89 : 8,739.03 = 1,930.18 : x
  2. Step 2: Convert to fraction form
    5,825.89/8,739.03 = 1,930.18/x
  3. Step 3: Cross multiply
    5,825.89x = 8,739.03 × 1,930.18
  4. Step 4: Simplify right side
    5,825.89x = 16,867,900.93
  5. Step 5: Solve for x
    x = 16,867,900.93/5,825.89
  6. Step 6: Final answer
    x = 2,895.33

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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.