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Finding the Fourth Proportional to 4,563.05, 6,843.65 and 1,275.26

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Solution

The fourth proportional to 4,563.05, 6,843.65 and 1,275.26 is: 1,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.05 : 6,843.65 = 1,275.26 : x
  2. Step 2: Convert to fraction form
    4,563.05/6,843.65 = 1,275.26/x
  3. Step 3: Cross multiply
    4,563.05x = 6,843.65 × 1,275.26
  4. Step 4: Simplify right side
    4,563.05x = 8,727,392.50
  5. Step 5: Solve for x
    x = 8,727,392.50/4,563.05
  6. Step 6: Final answer
    x = 1,912.62

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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.