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Finding the Fourth Proportional to 5,770.96, 8,648.94 and 4,194.96

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Solution

The fourth proportional to 5,770.96, 8,648.94 and 4,194.96 is: 6,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.96 : 8,648.94 = 4,194.96 : x
  2. Step 2: Convert to fraction form
    5,770.96/8,648.94 = 4,194.96/x
  3. Step 3: Cross multiply
    5,770.96x = 8,648.94 × 4,194.96
  4. Step 4: Simplify right side
    5,770.96x = 36,281,957.34
  5. Step 5: Solve for x
    x = 36,281,957.34/5,770.96
  6. Step 6: Final answer
    x = 6,286.99

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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.