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Finding the Fourth Proportional to 3,456.35, 4,769.78 and 1,884.41

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Solution

The fourth proportional to 3,456.35, 4,769.78 and 1,884.41 is: 2,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.35 : 4,769.78 = 1,884.41 : x
  2. Step 2: Convert to fraction form
    3,456.35/4,769.78 = 1,884.41/x
  3. Step 3: Cross multiply
    3,456.35x = 4,769.78 × 1,884.41
  4. Step 4: Simplify right side
    3,456.35x = 8,988,187.86
  5. Step 5: Solve for x
    x = 8,988,187.86/3,456.35
  6. Step 6: Final answer
    x = 2,600.49

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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.