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Finding the Fourth Proportional to 3,819.43, 5,728.21 and 2,430.69

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Solution

The fourth proportional to 3,819.43, 5,728.21 and 2,430.69 is: 3,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.43 : 5,728.21 = 2,430.69 : x
  2. Step 2: Convert to fraction form
    3,819.43/5,728.21 = 2,430.69/x
  3. Step 3: Cross multiply
    3,819.43x = 5,728.21 × 2,430.69
  4. Step 4: Simplify right side
    3,819.43x = 13,923,502.76
  5. Step 5: Solve for x
    x = 13,923,502.76/3,819.43
  6. Step 6: Final answer
    x = 3,645.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.