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Finding the Fourth Proportional to 3,458.29, 5,186.73 and 1,266.27

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Solution

The fourth proportional to 3,458.29, 5,186.73 and 1,266.27 is: 1,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.29 : 5,186.73 = 1,266.27 : x
  2. Step 2: Convert to fraction form
    3,458.29/5,186.73 = 1,266.27/x
  3. Step 3: Cross multiply
    3,458.29x = 5,186.73 × 1,266.27
  4. Step 4: Simplify right side
    3,458.29x = 6,567,774.66
  5. Step 5: Solve for x
    x = 6,567,774.66/3,458.29
  6. Step 6: Final answer
    x = 1,899.14

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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.