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Finding the Fourth Proportional to 3,403.85, 5,100.18 and 2,102.63

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Solution

The fourth proportional to 3,403.85, 5,100.18 and 2,102.63 is: 3,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.85 : 5,100.18 = 2,102.63 : x
  2. Step 2: Convert to fraction form
    3,403.85/5,100.18 = 2,102.63/x
  3. Step 3: Cross multiply
    3,403.85x = 5,100.18 × 2,102.63
  4. Step 4: Simplify right side
    3,403.85x = 10,723,791.47
  5. Step 5: Solve for x
    x = 10,723,791.47/3,403.85
  6. Step 6: Final answer
    x = 3,150.49

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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.