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Finding the Fourth Proportional to 4,264, 5,884.38 and 2,401

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Solution

The fourth proportional to 4,264, 5,884.38 and 2,401 is: 3,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264 : 5,884.38 = 2,401 : x
  2. Step 2: Convert to fraction form
    4,264/5,884.38 = 2,401/x
  3. Step 3: Cross multiply
    4,264x = 5,884.38 × 2,401
  4. Step 4: Simplify right side
    4,264x = 14,128,396.38
  5. Step 5: Solve for x
    x = 14,128,396.38/4,264
  6. Step 6: Final answer
    x = 3,313.41

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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.