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Finding the Fourth Proportional to 3,894.72, 5,839.20 and 1,428.24

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Solution

The fourth proportional to 3,894.72, 5,839.20 and 1,428.24 is: 2,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.72 : 5,839.20 = 1,428.24 : x
  2. Step 2: Convert to fraction form
    3,894.72/5,839.20 = 1,428.24/x
  3. Step 3: Cross multiply
    3,894.72x = 5,839.20 × 1,428.24
  4. Step 4: Simplify right side
    3,894.72x = 8,339,779.01
  5. Step 5: Solve for x
    x = 8,339,779.01/3,894.72
  6. Step 6: Final answer
    x = 2,141.30

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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.