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Finding the Fourth Proportional to 3,887.22, 5,830.83 and 965.55

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Solution

The fourth proportional to 3,887.22, 5,830.83 and 965.55 is: 1,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.22 : 5,830.83 = 965.55 : x
  2. Step 2: Convert to fraction form
    3,887.22/5,830.83 = 965.55/x
  3. Step 3: Cross multiply
    3,887.22x = 5,830.83 × 965.55
  4. Step 4: Simplify right side
    3,887.22x = 5,629,957.91
  5. Step 5: Solve for x
    x = 5,629,957.91/3,887.22
  6. Step 6: Final answer
    x = 1,448.33

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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.