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Finding the Fourth Proportional to 5,849.96, 8,782.22 and 3,896.24

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Solution

The fourth proportional to 5,849.96, 8,782.22 and 3,896.24 is: 5,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.96 : 8,782.22 = 3,896.24 : x
  2. Step 2: Convert to fraction form
    5,849.96/8,782.22 = 3,896.24/x
  3. Step 3: Cross multiply
    5,849.96x = 8,782.22 × 3,896.24
  4. Step 4: Simplify right side
    5,849.96x = 34,217,602.68
  5. Step 5: Solve for x
    x = 34,217,602.68/5,849.96
  6. Step 6: Final answer
    x = 5,849.21

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1.5x scale

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.