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Finding the Fourth Proportional to 5,859.72, 8,780.94 and 2,934

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Solution

The fourth proportional to 5,859.72, 8,780.94 and 2,934 is: 4,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.72 : 8,780.94 = 2,934 : x
  2. Step 2: Convert to fraction form
    5,859.72/8,780.94 = 2,934/x
  3. Step 3: Cross multiply
    5,859.72x = 8,780.94 × 2,934
  4. Step 4: Simplify right side
    5,859.72x = 25,763,277.96
  5. Step 5: Solve for x
    x = 25,763,277.96/5,859.72
  6. Step 6: Final answer
    x = 4,396.67

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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.