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Finding the Fourth Proportional to 5,314.43, 7,969.52 and 2,194.92

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Solution

The fourth proportional to 5,314.43, 7,969.52 and 2,194.92 is: 3,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.43 : 7,969.52 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    5,314.43/7,969.52 = 2,194.92/x
  3. Step 3: Cross multiply
    5,314.43x = 7,969.52 × 2,194.92
  4. Step 4: Simplify right side
    5,314.43x = 17,492,464.33
  5. Step 5: Solve for x
    x = 17,492,464.33/5,314.43
  6. Step 6: Final answer
    x = 3,291.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.