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Finding the Fourth Proportional to 3,429.28, 4,732.43 and 1,857.38

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Solution

The fourth proportional to 3,429.28, 4,732.43 and 1,857.38 is: 2,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.28 : 4,732.43 = 1,857.38 : x
  2. Step 2: Convert to fraction form
    3,429.28/4,732.43 = 1,857.38/x
  3. Step 3: Cross multiply
    3,429.28x = 4,732.43 × 1,857.38
  4. Step 4: Simplify right side
    3,429.28x = 8,789,887.88
  5. Step 5: Solve for x
    x = 8,789,887.88/3,429.28
  6. Step 6: Final answer
    x = 2,563.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.