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Finding the Fourth Proportional to 3,623.26, 5,000.08 and 1,967.26

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Solution

The fourth proportional to 3,623.26, 5,000.08 and 1,967.26 is: 2,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.26 : 5,000.08 = 1,967.26 : x
  2. Step 2: Convert to fraction form
    3,623.26/5,000.08 = 1,967.26/x
  3. Step 3: Cross multiply
    3,623.26x = 5,000.08 × 1,967.26
  4. Step 4: Simplify right side
    3,623.26x = 9,836,457.38
  5. Step 5: Solve for x
    x = 9,836,457.38/3,623.26
  6. Step 6: Final answer
    x = 2,714.81

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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.