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Finding the Fourth Proportional to 3,439.44, 5,157.72 and 1,386

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Solution

The fourth proportional to 3,439.44, 5,157.72 and 1,386 is: 2,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.44 : 5,157.72 = 1,386 : x
  2. Step 2: Convert to fraction form
    3,439.44/5,157.72 = 1,386/x
  3. Step 3: Cross multiply
    3,439.44x = 5,157.72 × 1,386
  4. Step 4: Simplify right side
    3,439.44x = 7,148,599.92
  5. Step 5: Solve for x
    x = 7,148,599.92/3,439.44
  6. Step 6: Final answer
    x = 2,078.42

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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.