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Finding the Fourth Proportional to 5,170, 7,132.08 and 3,072.64

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Solution

The fourth proportional to 5,170, 7,132.08 and 3,072.64 is: 4,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 7,132.08 = 3,072.64 : x
  2. Step 2: Convert to fraction form
    5,170/7,132.08 = 3,072.64/x
  3. Step 3: Cross multiply
    5,170x = 7,132.08 × 3,072.64
  4. Step 4: Simplify right side
    5,170x = 21,914,314.29
  5. Step 5: Solve for x
    x = 21,914,314.29/5,170
  6. Step 6: Final answer
    x = 4,238.75

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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.