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Finding the Fourth Proportional to 6,418.70, 9,628.00 and 3,458.54

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Solution

The fourth proportional to 6,418.70, 9,628.00 and 3,458.54 is: 5,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.70 : 9,628.00 = 3,458.54 : x
  2. Step 2: Convert to fraction form
    6,418.70/9,628.00 = 3,458.54/x
  3. Step 3: Cross multiply
    6,418.70x = 9,628.00 × 3,458.54
  4. Step 4: Simplify right side
    6,418.70x = 33,298,838.54
  5. Step 5: Solve for x
    x = 33,298,838.54/6,418.70
  6. Step 6: Final answer
    x = 5,187.78

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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.