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Finding the Fourth Proportional to 5,635.68, 8,451.09 and 2,170.50

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Solution

The fourth proportional to 5,635.68, 8,451.09 and 2,170.50 is: 3,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.68 : 8,451.09 = 2,170.50 : x
  2. Step 2: Convert to fraction form
    5,635.68/8,451.09 = 2,170.50/x
  3. Step 3: Cross multiply
    5,635.68x = 8,451.09 × 2,170.50
  4. Step 4: Simplify right side
    5,635.68x = 18,343,090.85
  5. Step 5: Solve for x
    x = 18,343,090.85/5,635.68
  6. Step 6: Final answer
    x = 3,254.81

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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.