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Finding the Fourth Proportional to 5,738.94, 8,609.93 and 1,843.45

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Solution

The fourth proportional to 5,738.94, 8,609.93 and 1,843.45 is: 2,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.94 : 8,609.93 = 1,843.45 : x
  2. Step 2: Convert to fraction form
    5,738.94/8,609.93 = 1,843.45/x
  3. Step 3: Cross multiply
    5,738.94x = 8,609.93 × 1,843.45
  4. Step 4: Simplify right side
    5,738.94x = 15,871,975.46
  5. Step 5: Solve for x
    x = 15,871,975.46/5,738.94
  6. Step 6: Final answer
    x = 2,765.66

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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.