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Finding the Fourth Proportional to 3,480.13, 5,212.90 and 2,018.49

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Solution

The fourth proportional to 3,480.13, 5,212.90 and 2,018.49 is: 3,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.13 : 5,212.90 = 2,018.49 : x
  2. Step 2: Convert to fraction form
    3,480.13/5,212.90 = 2,018.49/x
  3. Step 3: Cross multiply
    3,480.13x = 5,212.90 × 2,018.49
  4. Step 4: Simplify right side
    3,480.13x = 10,522,186.52
  5. Step 5: Solve for x
    x = 10,522,186.52/3,480.13
  6. Step 6: Final answer
    x = 3,023.50

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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.