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Finding the Fourth Proportional to 3,428.91, 5,142.72 and 963.12

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Solution

The fourth proportional to 3,428.91, 5,142.72 and 963.12 is: 1,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.91 : 5,142.72 = 963.12 : x
  2. Step 2: Convert to fraction form
    3,428.91/5,142.72 = 963.12/x
  3. Step 3: Cross multiply
    3,428.91x = 5,142.72 × 963.12
  4. Step 4: Simplify right side
    3,428.91x = 4,953,056.49
  5. Step 5: Solve for x
    x = 4,953,056.49/3,428.91
  6. Step 6: Final answer
    x = 1,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.