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Finding the Fourth Proportional to 3,456.75, 5,185.11 and 859.69

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Solution

The fourth proportional to 3,456.75, 5,185.11 and 859.69 is: 1,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.75 : 5,185.11 = 859.69 : x
  2. Step 2: Convert to fraction form
    3,456.75/5,185.11 = 859.69/x
  3. Step 3: Cross multiply
    3,456.75x = 5,185.11 × 859.69
  4. Step 4: Simplify right side
    3,456.75x = 4,457,587.22
  5. Step 5: Solve for x
    x = 4,457,587.22/3,456.75
  6. Step 6: Final answer
    x = 1,289.53

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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.