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Finding the Fourth Proportional to 3,204.54, 4,783.86 and 2,712.24

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Solution

The fourth proportional to 3,204.54, 4,783.86 and 2,712.24 is: 4,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.54 : 4,783.86 = 2,712.24 : x
  2. Step 2: Convert to fraction form
    3,204.54/4,783.86 = 2,712.24/x
  3. Step 3: Cross multiply
    3,204.54x = 4,783.86 × 2,712.24
  4. Step 4: Simplify right side
    3,204.54x = 12,974,976.45
  5. Step 5: Solve for x
    x = 12,974,976.45/3,204.54
  6. Step 6: Final answer
    x = 4,048.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.