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Finding the Fourth Proportional to 5,930.96, 8,897.94 and 1,770.93

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Solution

The fourth proportional to 5,930.96, 8,897.94 and 1,770.93 is: 2,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.96 : 8,897.94 = 1,770.93 : x
  2. Step 2: Convert to fraction form
    5,930.96/8,897.94 = 1,770.93/x
  3. Step 3: Cross multiply
    5,930.96x = 8,897.94 × 1,770.93
  4. Step 4: Simplify right side
    5,930.96x = 15,757,628.88
  5. Step 5: Solve for x
    x = 15,757,628.88/5,930.96
  6. Step 6: Final answer
    x = 2,656.85

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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.