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Finding the Fourth Proportional to 3,819.34, 5,266.38 and 2,698.30

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Solution

The fourth proportional to 3,819.34, 5,266.38 and 2,698.30 is: 3,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.34 : 5,266.38 = 2,698.30 : x
  2. Step 2: Convert to fraction form
    3,819.34/5,266.38 = 2,698.30/x
  3. Step 3: Cross multiply
    3,819.34x = 5,266.38 × 2,698.30
  4. Step 4: Simplify right side
    3,819.34x = 14,210,273.15
  5. Step 5: Solve for x
    x = 14,210,273.15/3,819.34
  6. Step 6: Final answer
    x = 3,720.61

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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.