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Finding the Fourth Proportional to 3,428.15, 5,141.48 and 963.23

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Solution

The fourth proportional to 3,428.15, 5,141.48 and 963.23 is: 1,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.15 : 5,141.48 = 963.23 : x
  2. Step 2: Convert to fraction form
    3,428.15/5,141.48 = 963.23/x
  3. Step 3: Cross multiply
    3,428.15x = 5,141.48 × 963.23
  4. Step 4: Simplify right side
    3,428.15x = 4,952,397.26
  5. Step 5: Solve for x
    x = 4,952,397.26/3,428.15
  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.