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Finding the Fourth Proportional to 4,314.25, 5,954.07 and 2,451.25

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Solution

The fourth proportional to 4,314.25, 5,954.07 and 2,451.25 is: 3,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.25 : 5,954.07 = 2,451.25 : x
  2. Step 2: Convert to fraction form
    4,314.25/5,954.07 = 2,451.25/x
  3. Step 3: Cross multiply
    4,314.25x = 5,954.07 × 2,451.25
  4. Step 4: Simplify right side
    4,314.25x = 14,594,914.09
  5. Step 5: Solve for x
    x = 14,594,914.09/4,314.25
  6. Step 6: Final answer
    x = 3,382.96

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Why These Related Problems?

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