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Finding the Fourth Proportional to 3,456.54, 4,770.09 and 1,884.69

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Solution

The fourth proportional to 3,456.54, 4,770.09 and 1,884.69 is: 2,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.54 : 4,770.09 = 1,884.69 : x
  2. Step 2: Convert to fraction form
    3,456.54/4,770.09 = 1,884.69/x
  3. Step 3: Cross multiply
    3,456.54x = 4,770.09 × 1,884.69
  4. Step 4: Simplify right side
    3,456.54x = 8,990,140.92
  5. Step 5: Solve for x
    x = 8,990,140.92/3,456.54
  6. Step 6: Final answer
    x = 2,600.91

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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.