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Finding the Fourth Proportional to 4,272.75, 6,409.13 and 1,194.75

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Solution

The fourth proportional to 4,272.75, 6,409.13 and 1,194.75 is: 1,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.75 : 6,409.13 = 1,194.75 : x
  2. Step 2: Convert to fraction form
    4,272.75/6,409.13 = 1,194.75/x
  3. Step 3: Cross multiply
    4,272.75x = 6,409.13 × 1,194.75
  4. Step 4: Simplify right side
    4,272.75x = 7,657,302.09
  5. Step 5: Solve for x
    x = 7,657,302.09/4,272.75
  6. Step 6: Final answer
    x = 1,792.13

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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.