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Finding the Fourth Proportional to 4,226.76, 6,341.22 and 2,145.96

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Solution

The fourth proportional to 4,226.76, 6,341.22 and 2,145.96 is: 3,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.76 : 6,341.22 = 2,145.96 : x
  2. Step 2: Convert to fraction form
    4,226.76/6,341.22 = 2,145.96/x
  3. Step 3: Cross multiply
    4,226.76x = 6,341.22 × 2,145.96
  4. Step 4: Simplify right side
    4,226.76x = 13,608,004.47
  5. Step 5: Solve for x
    x = 13,608,004.47/4,226.76
  6. Step 6: Final answer
    x = 3,219.49

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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.