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Finding the Fourth Proportional to 3,886.50, 5,826.22 and 1,419.56

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Solution

The fourth proportional to 3,886.50, 5,826.22 and 1,419.56 is: 2,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.50 : 5,826.22 = 1,419.56 : x
  2. Step 2: Convert to fraction form
    3,886.50/5,826.22 = 1,419.56/x
  3. Step 3: Cross multiply
    3,886.50x = 5,826.22 × 1,419.56
  4. Step 4: Simplify right side
    3,886.50x = 8,270,668.86
  5. Step 5: Solve for x
    x = 8,270,668.86/3,886.50
  6. Step 6: Final answer
    x = 2,128.05

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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.