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Finding the Fourth Proportional to 3,204.73, 4,785.73 and 3,040.70

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Solution

The fourth proportional to 3,204.73, 4,785.73 and 3,040.70 is: 4,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.73 : 4,785.73 = 3,040.70 : x
  2. Step 2: Convert to fraction form
    3,204.73/4,785.73 = 3,040.70/x
  3. Step 3: Cross multiply
    3,204.73x = 4,785.73 × 3,040.70
  4. Step 4: Simplify right side
    3,204.73x = 14,551,954.01
  5. Step 5: Solve for x
    x = 14,551,954.01/3,204.73
  6. Step 6: Final answer
    x = 4,540.77

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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.