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Finding the Fourth Proportional to 4,623.73, 6,381 and 2,736.43

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Solution

The fourth proportional to 4,623.73, 6,381 and 2,736.43 is: 3,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.73 : 6,381 = 2,736.43 : x
  2. Step 2: Convert to fraction form
    4,623.73/6,381 = 2,736.43/x
  3. Step 3: Cross multiply
    4,623.73x = 6,381 × 2,736.43
  4. Step 4: Simplify right side
    4,623.73x = 17,461,159.83
  5. Step 5: Solve for x
    x = 17,461,159.83/4,623.73
  6. Step 6: Final answer
    x = 3,776.42

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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.