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Finding the Fourth Proportional to 3,903.78, 5,855.40 and 1,438.14

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Solution

The fourth proportional to 3,903.78, 5,855.40 and 1,438.14 is: 2,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.78 : 5,855.40 = 1,438.14 : x
  2. Step 2: Convert to fraction form
    3,903.78/5,855.40 = 1,438.14/x
  3. Step 3: Cross multiply
    3,903.78x = 5,855.40 × 1,438.14
  4. Step 4: Simplify right side
    3,903.78x = 8,420,884.96
  5. Step 5: Solve for x
    x = 8,420,884.96/3,903.78
  6. Step 6: Final answer
    x = 2,157.11

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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.