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Finding the Fourth Proportional to 3,894.57, 5,371.68 and 2,401.94

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Solution

The fourth proportional to 3,894.57, 5,371.68 and 2,401.94 is: 3,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.57 : 5,371.68 = 2,401.94 : x
  2. Step 2: Convert to fraction form
    3,894.57/5,371.68 = 2,401.94/x
  3. Step 3: Cross multiply
    3,894.57x = 5,371.68 × 2,401.94
  4. Step 4: Simplify right side
    3,894.57x = 12,902,453.06
  5. Step 5: Solve for x
    x = 12,902,453.06/3,894.57
  6. Step 6: Final answer
    x = 3,312.93

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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.