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Finding the Fourth Proportional to 3,457.97, 5,186.96 and 1,266.87

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Solution

The fourth proportional to 3,457.97, 5,186.96 and 1,266.87 is: 1,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.97 : 5,186.96 = 1,266.87 : x
  2. Step 2: Convert to fraction form
    3,457.97/5,186.96 = 1,266.87/x
  3. Step 3: Cross multiply
    3,457.97x = 5,186.96 × 1,266.87
  4. Step 4: Simplify right side
    3,457.97x = 6,571,221.88
  5. Step 5: Solve for x
    x = 6,571,221.88/3,457.97
  6. Step 6: Final answer
    x = 1,900.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.