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Finding the Fourth Proportional to 4,409.20, 6,083.64 and 2,839.44

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Solution

The fourth proportional to 4,409.20, 6,083.64 and 2,839.44 is: 3,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.20 : 6,083.64 = 2,839.44 : x
  2. Step 2: Convert to fraction form
    4,409.20/6,083.64 = 2,839.44/x
  3. Step 3: Cross multiply
    4,409.20x = 6,083.64 × 2,839.44
  4. Step 4: Simplify right side
    4,409.20x = 17,274,130.76
  5. Step 5: Solve for x
    x = 17,274,130.76/4,409.20
  6. Step 6: Final answer
    x = 3,917.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.