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Finding the Fourth Proportional to 4,651.39, 6,976.99 and 1,364.41

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Solution

The fourth proportional to 4,651.39, 6,976.99 and 1,364.41 is: 2,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.39 : 6,976.99 = 1,364.41 : x
  2. Step 2: Convert to fraction form
    4,651.39/6,976.99 = 1,364.41/x
  3. Step 3: Cross multiply
    4,651.39x = 6,976.99 × 1,364.41
  4. Step 4: Simplify right side
    4,651.39x = 9,519,474.93
  5. Step 5: Solve for x
    x = 9,519,474.93/4,651.39
  6. Step 6: Final answer
    x = 2,046.59

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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.