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Finding the Fourth Proportional to 4,378.69, 6,564.31 and 1,911.67

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Solution

The fourth proportional to 4,378.69, 6,564.31 and 1,911.67 is: 2,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.69 : 6,564.31 = 1,911.67 : x
  2. Step 2: Convert to fraction form
    4,378.69/6,564.31 = 1,911.67/x
  3. Step 3: Cross multiply
    4,378.69x = 6,564.31 × 1,911.67
  4. Step 4: Simplify right side
    4,378.69x = 12,548,794.50
  5. Step 5: Solve for x
    x = 12,548,794.50/4,378.69
  6. Step 6: Final answer
    x = 2,865.88

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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.