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Finding the Fourth Proportional to 4,768.05, 7,151.77 and 1,647.33

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Solution

The fourth proportional to 4,768.05, 7,151.77 and 1,647.33 is: 2,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.05 : 7,151.77 = 1,647.33 : x
  2. Step 2: Convert to fraction form
    4,768.05/7,151.77 = 1,647.33/x
  3. Step 3: Cross multiply
    4,768.05x = 7,151.77 × 1,647.33
  4. Step 4: Simplify right side
    4,768.05x = 11,781,325.27
  5. Step 5: Solve for x
    x = 11,781,325.27/4,768.05
  6. Step 6: Final answer
    x = 2,470.89

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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.