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Finding the Fourth Proportional to 3,428.04, 5,142.26 and 963.05

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Solution

The fourth proportional to 3,428.04, 5,142.26 and 963.05 is: 1,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.04 : 5,142.26 = 963.05 : x
  2. Step 2: Convert to fraction form
    3,428.04/5,142.26 = 963.05/x
  3. Step 3: Cross multiply
    3,428.04x = 5,142.26 × 963.05
  4. Step 4: Simplify right side
    3,428.04x = 4,952,257.46
  5. Step 5: Solve for x
    x = 4,952,257.46/3,428.04
  6. Step 6: Final answer
    x = 1,444.63

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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.