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Finding the Fourth Proportional to 3,536, 4,879.68 and 1,964.42

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Solution

The fourth proportional to 3,536, 4,879.68 and 1,964.42 is: 2,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536 : 4,879.68 = 1,964.42 : x
  2. Step 2: Convert to fraction form
    3,536/4,879.68 = 1,964.42/x
  3. Step 3: Cross multiply
    3,536x = 4,879.68 × 1,964.42
  4. Step 4: Simplify right side
    3,536x = 9,585,740.99
  5. Step 5: Solve for x
    x = 9,585,740.99/3,536
  6. Step 6: Final answer
    x = 2,710.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.