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Finding the Fourth Proportional to 5,315.25, 7,969.89 and 2,194.32

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Solution

The fourth proportional to 5,315.25, 7,969.89 and 2,194.32 is: 3,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.25 : 7,969.89 = 2,194.32 : x
  2. Step 2: Convert to fraction form
    5,315.25/7,969.89 = 2,194.32/x
  3. Step 3: Cross multiply
    5,315.25x = 7,969.89 × 2,194.32
  4. Step 4: Simplify right side
    5,315.25x = 17,488,489.02
  5. Step 5: Solve for x
    x = 17,488,489.02/5,315.25
  6. Step 6: Final answer
    x = 3,290.25

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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.