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Finding the Fourth Proportional to 3,954.60, 5,457.20 and 2,186.24

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Solution

The fourth proportional to 3,954.60, 5,457.20 and 2,186.24 is: 3,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.60 : 5,457.20 = 2,186.24 : x
  2. Step 2: Convert to fraction form
    3,954.60/5,457.20 = 2,186.24/x
  3. Step 3: Cross multiply
    3,954.60x = 5,457.20 × 2,186.24
  4. Step 4: Simplify right side
    3,954.60x = 11,930,748.93
  5. Step 5: Solve for x
    x = 11,930,748.93/3,954.60
  6. Step 6: Final answer
    x = 3,016.93

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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.