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Finding the Fourth Proportional to 3,428.08, 5,142.32 and 963.09

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Solution

The fourth proportional to 3,428.08, 5,142.32 and 963.09 is: 1,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.08 : 5,142.32 = 963.09 : x
  2. Step 2: Convert to fraction form
    3,428.08/5,142.32 = 963.09/x
  3. Step 3: Cross multiply
    3,428.08x = 5,142.32 × 963.09
  4. Step 4: Simplify right side
    3,428.08x = 4,952,527.63
  5. Step 5: Solve for x
    x = 4,952,527.63/3,428.08
  6. Step 6: Final answer
    x = 1,444.69

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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.