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Finding the Fourth Proportional to 4,769.94, 6,581.70 and 3,003.90

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Solution

The fourth proportional to 4,769.94, 6,581.70 and 3,003.90 is: 4,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.94 : 6,581.70 = 3,003.90 : x
  2. Step 2: Convert to fraction form
    4,769.94/6,581.70 = 3,003.90/x
  3. Step 3: Cross multiply
    4,769.94x = 6,581.70 × 3,003.90
  4. Step 4: Simplify right side
    4,769.94x = 19,770,768.63
  5. Step 5: Solve for x
    x = 19,770,768.63/4,769.94
  6. Step 6: Final answer
    x = 4,144.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.