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Finding the Fourth Proportional to 3,428.54, 5,142.42 and 963.56

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Solution

The fourth proportional to 3,428.54, 5,142.42 and 963.56 is: 1,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.54 : 5,142.42 = 963.56 : x
  2. Step 2: Convert to fraction form
    3,428.54/5,142.42 = 963.56/x
  3. Step 3: Cross multiply
    3,428.54x = 5,142.42 × 963.56
  4. Step 4: Simplify right side
    3,428.54x = 4,955,030.22
  5. Step 5: Solve for x
    x = 4,955,030.22/3,428.54
  6. Step 6: Final answer
    x = 1,445.23

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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.