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Finding the Fourth Proportional to 3,631.74, 5,446.95 and 963.35

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Solution

The fourth proportional to 3,631.74, 5,446.95 and 963.35 is: 1,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.74 : 5,446.95 = 963.35 : x
  2. Step 2: Convert to fraction form
    3,631.74/5,446.95 = 963.35/x
  3. Step 3: Cross multiply
    3,631.74x = 5,446.95 × 963.35
  4. Step 4: Simplify right side
    3,631.74x = 5,247,319.28
  5. Step 5: Solve for x
    x = 5,247,319.28/3,631.74
  6. Step 6: Final answer
    x = 1,444.85

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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.