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Finding the Fourth Proportional to 3,806.93, 5,254.44 and 2,478.33

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Solution

The fourth proportional to 3,806.93, 5,254.44 and 2,478.33 is: 3,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.93 : 5,254.44 = 2,478.33 : x
  2. Step 2: Convert to fraction form
    3,806.93/5,254.44 = 2,478.33/x
  3. Step 3: Cross multiply
    3,806.93x = 5,254.44 × 2,478.33
  4. Step 4: Simplify right side
    3,806.93x = 13,022,236.29
  5. Step 5: Solve for x
    x = 13,022,236.29/3,806.93
  6. Step 6: Final answer
    x = 3,420.67

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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.