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Finding the Fourth Proportional to 4,819.50, 7,230.71 and 3,416.63

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Solution

The fourth proportional to 4,819.50, 7,230.71 and 3,416.63 is: 5,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.50 : 7,230.71 = 3,416.63 : x
  2. Step 2: Convert to fraction form
    4,819.50/7,230.71 = 3,416.63/x
  3. Step 3: Cross multiply
    4,819.50x = 7,230.71 × 3,416.63
  4. Step 4: Simplify right side
    4,819.50x = 24,704,687.33
  5. Step 5: Solve for x
    x = 24,704,687.33/4,819.50
  6. Step 6: Final answer
    x = 5,125.99

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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.