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Finding the Fourth Proportional to 3,954.82, 5,457.88 and 2,186.38

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Solution

The fourth proportional to 3,954.82, 5,457.88 and 2,186.38 is: 3,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.82 : 5,457.88 = 2,186.38 : x
  2. Step 2: Convert to fraction form
    3,954.82/5,457.88 = 2,186.38/x
  3. Step 3: Cross multiply
    3,954.82x = 5,457.88 × 2,186.38
  4. Step 4: Simplify right side
    3,954.82x = 11,932,999.67
  5. Step 5: Solve for x
    x = 11,932,999.67/3,954.82
  6. Step 6: Final answer
    x = 3,017.33

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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.