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Finding the Fourth Proportional to 3,874.57, 5,802.10 and 3,057.28

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Solution

The fourth proportional to 3,874.57, 5,802.10 and 3,057.28 is: 4,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.57 : 5,802.10 = 3,057.28 : x
  2. Step 2: Convert to fraction form
    3,874.57/5,802.10 = 3,057.28/x
  3. Step 3: Cross multiply
    3,874.57x = 5,802.10 × 3,057.28
  4. Step 4: Simplify right side
    3,874.57x = 17,738,644.29
  5. Step 5: Solve for x
    x = 17,738,644.29/3,874.57
  6. Step 6: Final answer
    x = 4,578.22

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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.