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Finding the Fourth Proportional to 4,057, 5,598.66 and 2,401

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Solution

The fourth proportional to 4,057, 5,598.66 and 2,401 is: 3,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057 : 5,598.66 = 2,401 : x
  2. Step 2: Convert to fraction form
    4,057/5,598.66 = 2,401/x
  3. Step 3: Cross multiply
    4,057x = 5,598.66 × 2,401
  4. Step 4: Simplify right side
    4,057x = 13,442,382.66
  5. Step 5: Solve for x
    x = 13,442,382.66/4,057
  6. Step 6: Final answer
    x = 3,313.38

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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.