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Finding the Fourth Proportional to 4,735.69, 7,105.01 and 1,963.67

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Solution

The fourth proportional to 4,735.69, 7,105.01 and 1,963.67 is: 2,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.69 : 7,105.01 = 1,963.67 : x
  2. Step 2: Convert to fraction form
    4,735.69/7,105.01 = 1,963.67/x
  3. Step 3: Cross multiply
    4,735.69x = 7,105.01 × 1,963.67
  4. Step 4: Simplify right side
    4,735.69x = 13,951,849.64
  5. Step 5: Solve for x
    x = 13,951,849.64/4,735.69
  6. Step 6: Final answer
    x = 2,946.11

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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.