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Finding the Fourth Proportional to 3,243.94, 4,866.11 and 1,052.89

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Solution

The fourth proportional to 3,243.94, 4,866.11 and 1,052.89 is: 1,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.94 : 4,866.11 = 1,052.89 : x
  2. Step 2: Convert to fraction form
    3,243.94/4,866.11 = 1,052.89/x
  3. Step 3: Cross multiply
    3,243.94x = 4,866.11 × 1,052.89
  4. Step 4: Simplify right side
    3,243.94x = 5,123,478.56
  5. Step 5: Solve for x
    x = 5,123,478.56/3,243.94
  6. Step 6: Final answer
    x = 1,579.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.