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Finding the Fourth Proportional to 3,819.69, 5,273.74 and 2,386.24

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Solution

The fourth proportional to 3,819.69, 5,273.74 and 2,386.24 is: 3,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.69 : 5,273.74 = 2,386.24 : x
  2. Step 2: Convert to fraction form
    3,819.69/5,273.74 = 2,386.24/x
  3. Step 3: Cross multiply
    3,819.69x = 5,273.74 × 2,386.24
  4. Step 4: Simplify right side
    3,819.69x = 12,584,409.34
  5. Step 5: Solve for x
    x = 12,584,409.34/3,819.69
  6. Step 6: Final answer
    x = 3,294.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.