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Finding the Fourth Proportional to 5,821.89, 8,734.20 and 1,661.95

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Solution

The fourth proportional to 5,821.89, 8,734.20 and 1,661.95 is: 2,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.89 : 8,734.20 = 1,661.95 : x
  2. Step 2: Convert to fraction form
    5,821.89/8,734.20 = 1,661.95/x
  3. Step 3: Cross multiply
    5,821.89x = 8,734.20 × 1,661.95
  4. Step 4: Simplify right side
    5,821.89x = 14,515,803.69
  5. Step 5: Solve for x
    x = 14,515,803.69/5,821.89
  6. Step 6: Final answer
    x = 2,493.31

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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.