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Finding the Fourth Proportional to 5,770.89, 8,658.35 and 1,822.76

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Solution

The fourth proportional to 5,770.89, 8,658.35 and 1,822.76 is: 2,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.89 : 8,658.35 = 1,822.76 : x
  2. Step 2: Convert to fraction form
    5,770.89/8,658.35 = 1,822.76/x
  3. Step 3: Cross multiply
    5,770.89x = 8,658.35 × 1,822.76
  4. Step 4: Simplify right side
    5,770.89x = 15,782,094.05
  5. Step 5: Solve for x
    x = 15,782,094.05/5,770.89
  6. Step 6: Final answer
    x = 2,734.78

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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.