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Finding the Fourth Proportional to 3,846.96, 5,805.12 and 3,709.68

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Solution

The fourth proportional to 3,846.96, 5,805.12 and 3,709.68 is: 5,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.96 : 5,805.12 = 3,709.68 : x
  2. Step 2: Convert to fraction form
    3,846.96/5,805.12 = 3,709.68/x
  3. Step 3: Cross multiply
    3,846.96x = 5,805.12 × 3,709.68
  4. Step 4: Simplify right side
    3,846.96x = 21,535,137.56
  5. Step 5: Solve for x
    x = 21,535,137.56/3,846.96
  6. Step 6: Final answer
    x = 5,597.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.