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Finding the Fourth Proportional to 3,458.43, 5,187.64 and 861.37

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Solution

The fourth proportional to 3,458.43, 5,187.64 and 861.37 is: 1,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.43 : 5,187.64 = 861.37 : x
  2. Step 2: Convert to fraction form
    3,458.43/5,187.64 = 861.37/x
  3. Step 3: Cross multiply
    3,458.43x = 5,187.64 × 861.37
  4. Step 4: Simplify right side
    3,458.43x = 4,468,477.47
  5. Step 5: Solve for x
    x = 4,468,477.47/3,458.43
  6. Step 6: Final answer
    x = 1,292.05

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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.