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Finding the Fourth Proportional to 5,978.62, 8,967.93 and 2,849.12

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Solution

The fourth proportional to 5,978.62, 8,967.93 and 2,849.12 is: 4,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.62 : 8,967.93 = 2,849.12 : x
  2. Step 2: Convert to fraction form
    5,978.62/8,967.93 = 2,849.12/x
  3. Step 3: Cross multiply
    5,978.62x = 8,967.93 × 2,849.12
  4. Step 4: Simplify right side
    5,978.62x = 25,550,663.88
  5. Step 5: Solve for x
    x = 25,550,663.88/5,978.62
  6. Step 6: Final answer
    x = 4,273.67

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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.