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Finding the Fourth Proportional to 3,458.12, 5,187.24 and 861.05

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Solution

The fourth proportional to 3,458.12, 5,187.24 and 861.05 is: 1,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.12 : 5,187.24 = 861.05 : x
  2. Step 2: Convert to fraction form
    3,458.12/5,187.24 = 861.05/x
  3. Step 3: Cross multiply
    3,458.12x = 5,187.24 × 861.05
  4. Step 4: Simplify right side
    3,458.12x = 4,466,485.97
  5. Step 5: Solve for x
    x = 4,466,485.97/3,458.12
  6. Step 6: Final answer
    x = 1,291.60

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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.