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Finding the Fourth Proportional to 3,456.24, 4,769.67 and 1,884.42

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Solution

The fourth proportional to 3,456.24, 4,769.67 and 1,884.42 is: 2,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.24 : 4,769.67 = 1,884.42 : x
  2. Step 2: Convert to fraction form
    3,456.24/4,769.67 = 1,884.42/x
  3. Step 3: Cross multiply
    3,456.24x = 4,769.67 × 1,884.42
  4. Step 4: Simplify right side
    3,456.24x = 8,988,061.54
  5. Step 5: Solve for x
    x = 8,988,061.54/3,456.24
  6. Step 6: Final answer
    x = 2,600.53

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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.