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Finding the Fourth Proportional to 3,975.22, 5,486.06 and 2,296.70

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Solution

The fourth proportional to 3,975.22, 5,486.06 and 2,296.70 is: 3,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.22 : 5,486.06 = 2,296.70 : x
  2. Step 2: Convert to fraction form
    3,975.22/5,486.06 = 2,296.70/x
  3. Step 3: Cross multiply
    3,975.22x = 5,486.06 × 2,296.70
  4. Step 4: Simplify right side
    3,975.22x = 12,599,832.89
  5. Step 5: Solve for x
    x = 12,599,832.89/3,975.22
  6. Step 6: Final answer
    x = 3,169.59

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1.5x scale

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.