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Finding the Fourth Proportional to 5,984.67, 8,976.91 and 1,880.67

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Solution

The fourth proportional to 5,984.67, 8,976.91 and 1,880.67 is: 2,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.67 : 8,976.91 = 1,880.67 : x
  2. Step 2: Convert to fraction form
    5,984.67/8,976.91 = 1,880.67/x
  3. Step 3: Cross multiply
    5,984.67x = 8,976.91 × 1,880.67
  4. Step 4: Simplify right side
    5,984.67x = 16,882,605.33
  5. Step 5: Solve for x
    x = 16,882,605.33/5,984.67
  6. Step 6: Final answer
    x = 2,820.98

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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.