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Finding the Fourth Proportional to 3,976.22, 5,486.99 and 2,297.67

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Solution

The fourth proportional to 3,976.22, 5,486.99 and 2,297.67 is: 3,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.22 : 5,486.99 = 2,297.67 : x
  2. Step 2: Convert to fraction form
    3,976.22/5,486.99 = 2,297.67/x
  3. Step 3: Cross multiply
    3,976.22x = 5,486.99 × 2,297.67
  4. Step 4: Simplify right side
    3,976.22x = 12,607,280.82
  5. Step 5: Solve for x
    x = 12,607,280.82/3,976.22
  6. Step 6: Final answer
    x = 3,170.67

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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.