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Finding the Fourth Proportional to 4,640.94, 6,976.47 and 3,726.51

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Solution

The fourth proportional to 4,640.94, 6,976.47 and 3,726.51 is: 5,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.94 : 6,976.47 = 3,726.51 : x
  2. Step 2: Convert to fraction form
    4,640.94/6,976.47 = 3,726.51/x
  3. Step 3: Cross multiply
    4,640.94x = 6,976.47 × 3,726.51
  4. Step 4: Simplify right side
    4,640.94x = 25,997,885.22
  5. Step 5: Solve for x
    x = 25,997,885.22/4,640.94
  6. Step 6: Final answer
    x = 5,601.86

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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.