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Finding the Fourth Proportional to 3,910.96, 5,866.26 and 1,445.60

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Solution

The fourth proportional to 3,910.96, 5,866.26 and 1,445.60 is: 2,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.96 : 5,866.26 = 1,445.60 : x
  2. Step 2: Convert to fraction form
    3,910.96/5,866.26 = 1,445.60/x
  3. Step 3: Cross multiply
    3,910.96x = 5,866.26 × 1,445.60
  4. Step 4: Simplify right side
    3,910.96x = 8,480,265.46
  5. Step 5: Solve for x
    x = 8,480,265.46/3,910.96
  6. Step 6: Final answer
    x = 2,168.33

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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.