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Finding the Fourth Proportional to 4,272.75, 6,409.13 and 1,351.15

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Solution

The fourth proportional to 4,272.75, 6,409.13 and 1,351.15 is: 2,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.75 : 6,409.13 = 1,351.15 : x
  2. Step 2: Convert to fraction form
    4,272.75/6,409.13 = 1,351.15/x
  3. Step 3: Cross multiply
    4,272.75x = 6,409.13 × 1,351.15
  4. Step 4: Simplify right side
    4,272.75x = 8,659,673.22
  5. Step 5: Solve for x
    x = 8,659,673.22/4,272.75
  6. Step 6: Final answer
    x = 2,026.72

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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.