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Finding the Fourth Proportional to 3,428.94, 5,142.60 and 1,578.90

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Solution

The fourth proportional to 3,428.94, 5,142.60 and 1,578.90 is: 2,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.94 : 5,142.60 = 1,578.90 : x
  2. Step 2: Convert to fraction form
    3,428.94/5,142.60 = 1,578.90/x
  3. Step 3: Cross multiply
    3,428.94x = 5,142.60 × 1,578.90
  4. Step 4: Simplify right side
    3,428.94x = 8,119,651.14
  5. Step 5: Solve for x
    x = 8,119,651.14/3,428.94
  6. Step 6: Final answer
    x = 2,367.98

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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.