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Finding the Fourth Proportional to 5,494.64, 8,221.54 and 3,274.67

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Solution

The fourth proportional to 5,494.64, 8,221.54 and 3,274.67 is: 4,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.64 : 8,221.54 = 3,274.67 : x
  2. Step 2: Convert to fraction form
    5,494.64/8,221.54 = 3,274.67/x
  3. Step 3: Cross multiply
    5,494.64x = 8,221.54 × 3,274.67
  4. Step 4: Simplify right side
    5,494.64x = 26,922,830.39
  5. Step 5: Solve for x
    x = 26,922,830.39/5,494.64
  6. Step 6: Final answer
    x = 4,899.84

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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.