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Finding the Fourth Proportional to 4,541.67, 6,814.94 and 4,460.27

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Solution

The fourth proportional to 4,541.67, 6,814.94 and 4,460.27 is: 6,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.67 : 6,814.94 = 4,460.27 : x
  2. Step 2: Convert to fraction form
    4,541.67/6,814.94 = 4,460.27/x
  3. Step 3: Cross multiply
    4,541.67x = 6,814.94 × 4,460.27
  4. Step 4: Simplify right side
    4,541.67x = 30,396,416.06
  5. Step 5: Solve for x
    x = 30,396,416.06/4,541.67
  6. Step 6: Final answer
    x = 6,692.78

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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.