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Finding the Fourth Proportional to 3,914.67, 5,409.63 and 2,968.77

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Solution

The fourth proportional to 3,914.67, 5,409.63 and 2,968.77 is: 4,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.67 : 5,409.63 = 2,968.77 : x
  2. Step 2: Convert to fraction form
    3,914.67/5,409.63 = 2,968.77/x
  3. Step 3: Cross multiply
    3,914.67x = 5,409.63 × 2,968.77
  4. Step 4: Simplify right side
    3,914.67x = 16,059,947.26
  5. Step 5: Solve for x
    x = 16,059,947.26/3,914.67
  6. Step 6: Final answer
    x = 4,102.50

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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.