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Finding the Fourth Proportional to 4,536.56, 6,790.70 and 3,493.86

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Solution

The fourth proportional to 4,536.56, 6,790.70 and 3,493.86 is: 5,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.56 : 6,790.70 = 3,493.86 : x
  2. Step 2: Convert to fraction form
    4,536.56/6,790.70 = 3,493.86/x
  3. Step 3: Cross multiply
    4,536.56x = 6,790.70 × 3,493.86
  4. Step 4: Simplify right side
    4,536.56x = 23,725,755.10
  5. Step 5: Solve for x
    x = 23,725,755.10/4,536.56
  6. Step 6: Final answer
    x = 5,229.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.