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Finding the Fourth Proportional to 3,954.67, 5,457.36 and 2,461.84

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Solution

The fourth proportional to 3,954.67, 5,457.36 and 2,461.84 is: 3,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.67 : 5,457.36 = 2,461.84 : x
  2. Step 2: Convert to fraction form
    3,954.67/5,457.36 = 2,461.84/x
  3. Step 3: Cross multiply
    3,954.67x = 5,457.36 × 2,461.84
  4. Step 4: Simplify right side
    3,954.67x = 13,435,119.86
  5. Step 5: Solve for x
    x = 13,435,119.86/3,954.67
  6. Step 6: Final answer
    x = 3,397.28

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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.