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Finding the Fourth Proportional to 5,113.30, 7,669.95 and 2,819.38

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Solution

The fourth proportional to 5,113.30, 7,669.95 and 2,819.38 is: 4,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.30 : 7,669.95 = 2,819.38 : x
  2. Step 2: Convert to fraction form
    5,113.30/7,669.95 = 2,819.38/x
  3. Step 3: Cross multiply
    5,113.30x = 7,669.95 × 2,819.38
  4. Step 4: Simplify right side
    5,113.30x = 21,624,503.63
  5. Step 5: Solve for x
    x = 21,624,503.63/5,113.30
  6. Step 6: Final answer
    x = 4,229.07

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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.