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Finding the Fourth Proportional to 3,401.85, 5,097.18 and 2,100.63

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Solution

The fourth proportional to 3,401.85, 5,097.18 and 2,100.63 is: 3,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.85 : 5,097.18 = 2,100.63 : x
  2. Step 2: Convert to fraction form
    3,401.85/5,097.18 = 2,100.63/x
  3. Step 3: Cross multiply
    3,401.85x = 5,097.18 × 2,100.63
  4. Step 4: Simplify right side
    3,401.85x = 10,707,289.22
  5. Step 5: Solve for x
    x = 10,707,289.22/3,401.85
  6. Step 6: Final answer
    x = 3,147.49

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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.