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Finding the Fourth Proportional to 4,716.34, 6,508.26 and 2,726.48

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Solution

The fourth proportional to 4,716.34, 6,508.26 and 2,726.48 is: 3,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.34 : 6,508.26 = 2,726.48 : x
  2. Step 2: Convert to fraction form
    4,716.34/6,508.26 = 2,726.48/x
  3. Step 3: Cross multiply
    4,716.34x = 6,508.26 × 2,726.48
  4. Step 4: Simplify right side
    4,716.34x = 17,744,640.72
  5. Step 5: Solve for x
    x = 17,744,640.72/4,716.34
  6. Step 6: Final answer
    x = 3,762.38

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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.