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Finding the Fourth Proportional to 3,457.54, 5,186.97 and 1,266.39

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Solution

The fourth proportional to 3,457.54, 5,186.97 and 1,266.39 is: 1,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.54 : 5,186.97 = 1,266.39 : x
  2. Step 2: Convert to fraction form
    3,457.54/5,186.97 = 1,266.39/x
  3. Step 3: Cross multiply
    3,457.54x = 5,186.97 × 1,266.39
  4. Step 4: Simplify right side
    3,457.54x = 6,568,726.94
  5. Step 5: Solve for x
    x = 6,568,726.94/3,457.54
  6. Step 6: Final answer
    x = 1,899.83

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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.