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Finding the Fourth Proportional to 6,580.94, 9,858.39 and 3,456.27

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Solution

The fourth proportional to 6,580.94, 9,858.39 and 3,456.27 is: 5,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.94 : 9,858.39 = 3,456.27 : x
  2. Step 2: Convert to fraction form
    6,580.94/9,858.39 = 3,456.27/x
  3. Step 3: Cross multiply
    6,580.94x = 9,858.39 × 3,456.27
  4. Step 4: Simplify right side
    6,580.94x = 34,073,257.61
  5. Step 5: Solve for x
    x = 34,073,257.61/6,580.94
  6. Step 6: Final answer
    x = 5,177.57

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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.