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Finding the Fourth Proportional to 5,641.80, 7,786.07 and 3,283.94

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Solution

The fourth proportional to 5,641.80, 7,786.07 and 3,283.94 is: 4,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.80 : 7,786.07 = 3,283.94 : x
  2. Step 2: Convert to fraction form
    5,641.80/7,786.07 = 3,283.94/x
  3. Step 3: Cross multiply
    5,641.80x = 7,786.07 × 3,283.94
  4. Step 4: Simplify right side
    5,641.80x = 25,568,970.30
  5. Step 5: Solve for x
    x = 25,568,970.30/5,641.80
  6. Step 6: Final answer
    x = 4,532.06

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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.