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Finding the Fourth Proportional to 4,769.50, 7,155.83 and 1,847.83

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Solution

The fourth proportional to 4,769.50, 7,155.83 and 1,847.83 is: 2,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.50 : 7,155.83 = 1,847.83 : x
  2. Step 2: Convert to fraction form
    4,769.50/7,155.83 = 1,847.83/x
  3. Step 3: Cross multiply
    4,769.50x = 7,155.83 × 1,847.83
  4. Step 4: Simplify right side
    4,769.50x = 13,222,757.35
  5. Step 5: Solve for x
    x = 13,222,757.35/4,769.50
  6. Step 6: Final answer
    x = 2,772.36

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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.