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Finding the Fourth Proportional to 5,967.75, 8,955.75 and 2,072.16

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Solution

The fourth proportional to 5,967.75, 8,955.75 and 2,072.16 is: 3,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.75 : 8,955.75 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    5,967.75/8,955.75 = 2,072.16/x
  3. Step 3: Cross multiply
    5,967.75x = 8,955.75 × 2,072.16
  4. Step 4: Simplify right side
    5,967.75x = 18,557,746.92
  5. Step 5: Solve for x
    x = 18,557,746.92/5,967.75
  6. Step 6: Final answer
    x = 3,109.67

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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.