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Finding the Fourth Proportional to 3,954.86, 5,457.68 and 2,186.54

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Solution

The fourth proportional to 3,954.86, 5,457.68 and 2,186.54 is: 3,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.86 : 5,457.68 = 2,186.54 : x
  2. Step 2: Convert to fraction form
    3,954.86/5,457.68 = 2,186.54/x
  3. Step 3: Cross multiply
    3,954.86x = 5,457.68 × 2,186.54
  4. Step 4: Simplify right side
    3,954.86x = 11,933,435.63
  5. Step 5: Solve for x
    x = 11,933,435.63/3,954.86
  6. Step 6: Final answer
    x = 3,017.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.