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Finding the Fourth Proportional to 4,943.65, 6,822 and 2,819.26

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Solution

The fourth proportional to 4,943.65, 6,822 and 2,819.26 is: 3,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.65 : 6,822 = 2,819.26 : x
  2. Step 2: Convert to fraction form
    4,943.65/6,822 = 2,819.26/x
  3. Step 3: Cross multiply
    4,943.65x = 6,822 × 2,819.26
  4. Step 4: Simplify right side
    4,943.65x = 19,232,991.72
  5. Step 5: Solve for x
    x = 19,232,991.72/4,943.65
  6. Step 6: Final answer
    x = 3,890.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.