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Finding the Fourth Proportional to 3,431.40, 5,147.06 and 1,379.40

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Solution

The fourth proportional to 3,431.40, 5,147.06 and 1,379.40 is: 2,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.40 : 5,147.06 = 1,379.40 : x
  2. Step 2: Convert to fraction form
    3,431.40/5,147.06 = 1,379.40/x
  3. Step 3: Cross multiply
    3,431.40x = 5,147.06 × 1,379.40
  4. Step 4: Simplify right side
    3,431.40x = 7,099,854.56
  5. Step 5: Solve for x
    x = 7,099,854.56/3,431.40
  6. Step 6: Final answer
    x = 2,069.08

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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.