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Finding the Fourth Proportional to 5,967.63, 8,951.46 and 2,072.05

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Solution

The fourth proportional to 5,967.63, 8,951.46 and 2,072.05 is: 3,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.63 : 8,951.46 = 2,072.05 : x
  2. Step 2: Convert to fraction form
    5,967.63/8,951.46 = 2,072.05/x
  3. Step 3: Cross multiply
    5,967.63x = 8,951.46 × 2,072.05
  4. Step 4: Simplify right side
    5,967.63x = 18,547,872.69
  5. Step 5: Solve for x
    x = 18,547,872.69/5,967.63
  6. Step 6: Final answer
    x = 3,108.08

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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.