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Finding the Fourth Proportional to 4,769.41, 7,139.13 and 3,304.12

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Solution

The fourth proportional to 4,769.41, 7,139.13 and 3,304.12 is: 4,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.41 : 7,139.13 = 3,304.12 : x
  2. Step 2: Convert to fraction form
    4,769.41/7,139.13 = 3,304.12/x
  3. Step 3: Cross multiply
    4,769.41x = 7,139.13 × 3,304.12
  4. Step 4: Simplify right side
    4,769.41x = 23,588,542.22
  5. Step 5: Solve for x
    x = 23,588,542.22/4,769.41
  6. Step 6: Final answer
    x = 4,945.80

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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.