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Finding the Fourth Proportional to 5,930.82, 8,894.52 and 1,770.66

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Solution

The fourth proportional to 5,930.82, 8,894.52 and 1,770.66 is: 2,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.82 : 8,894.52 = 1,770.66 : x
  2. Step 2: Convert to fraction form
    5,930.82/8,894.52 = 1,770.66/x
  3. Step 3: Cross multiply
    5,930.82x = 8,894.52 × 1,770.66
  4. Step 4: Simplify right side
    5,930.82x = 15,749,170.78
  5. Step 5: Solve for x
    x = 15,749,170.78/5,930.82
  6. Step 6: Final answer
    x = 2,655.48

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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.