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Finding the Fourth Proportional to 3,911.42, 5,863.03 and 1,829.67

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Solution

The fourth proportional to 3,911.42, 5,863.03 and 1,829.67 is: 2,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.42 : 5,863.03 = 1,829.67 : x
  2. Step 2: Convert to fraction form
    3,911.42/5,863.03 = 1,829.67/x
  3. Step 3: Cross multiply
    3,911.42x = 5,863.03 × 1,829.67
  4. Step 4: Simplify right side
    3,911.42x = 10,727,426.81
  5. Step 5: Solve for x
    x = 10,727,426.81/3,911.42
  6. Step 6: Final answer
    x = 2,742.59

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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.