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Finding the Fourth Proportional to 5,793.69, 8,674.74 and 4,034.37

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Solution

The fourth proportional to 5,793.69, 8,674.74 and 4,034.37 is: 6,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.69 : 8,674.74 = 4,034.37 : x
  2. Step 2: Convert to fraction form
    5,793.69/8,674.74 = 4,034.37/x
  3. Step 3: Cross multiply
    5,793.69x = 8,674.74 × 4,034.37
  4. Step 4: Simplify right side
    5,793.69x = 34,997,110.81
  5. Step 5: Solve for x
    x = 34,997,110.81/5,793.69
  6. Step 6: Final answer
    x = 6,040.56

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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.