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Finding the Fourth Proportional to 3,837.06, 5,751.03 and 2,194.74

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Solution

The fourth proportional to 3,837.06, 5,751.03 and 2,194.74 is: 3,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.06 : 5,751.03 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    3,837.06/5,751.03 = 2,194.74/x
  3. Step 3: Cross multiply
    3,837.06x = 5,751.03 × 2,194.74
  4. Step 4: Simplify right side
    3,837.06x = 12,622,015.58
  5. Step 5: Solve for x
    x = 12,622,015.58/3,837.06
  6. Step 6: Final answer
    x = 3,289.50

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1.5x scale

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.