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Finding the Fourth Proportional to 5,673.70, 7,832.46 and 3,786.40

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Solution

The fourth proportional to 5,673.70, 7,832.46 and 3,786.40 is: 5,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.70 : 7,832.46 = 3,786.40 : x
  2. Step 2: Convert to fraction form
    5,673.70/7,832.46 = 3,786.40/x
  3. Step 3: Cross multiply
    5,673.70x = 7,832.46 × 3,786.40
  4. Step 4: Simplify right side
    5,673.70x = 29,656,826.54
  5. Step 5: Solve for x
    x = 29,656,826.54/5,673.70
  6. Step 6: Final answer
    x = 5,227.07

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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.