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Finding the Fourth Proportional to 3,778.68, 5,219.30 and 2,905.10

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Solution

The fourth proportional to 3,778.68, 5,219.30 and 2,905.10 is: 4,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.68 : 5,219.30 = 2,905.10 : x
  2. Step 2: Convert to fraction form
    3,778.68/5,219.30 = 2,905.10/x
  3. Step 3: Cross multiply
    3,778.68x = 5,219.30 × 2,905.10
  4. Step 4: Simplify right side
    3,778.68x = 15,162,588.43
  5. Step 5: Solve for x
    x = 15,162,588.43/3,778.68
  6. Step 6: Final answer
    x = 4,012.67

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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.