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Finding the Fourth Proportional to 5,422.84, 8,128.76 and 2,134.64

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Solution

The fourth proportional to 5,422.84, 8,128.76 and 2,134.64 is: 3,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.84 : 8,128.76 = 2,134.64 : x
  2. Step 2: Convert to fraction form
    5,422.84/8,128.76 = 2,134.64/x
  3. Step 3: Cross multiply
    5,422.84x = 8,128.76 × 2,134.64
  4. Step 4: Simplify right side
    5,422.84x = 17,351,976.25
  5. Step 5: Solve for x
    x = 17,351,976.25/5,422.84
  6. Step 6: Final answer
    x = 3,199.79

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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.