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Finding the Fourth Proportional to 3,866.96, 5,800.75 and 1,675.31

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Solution

The fourth proportional to 3,866.96, 5,800.75 and 1,675.31 is: 2,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.96 : 5,800.75 = 1,675.31 : x
  2. Step 2: Convert to fraction form
    3,866.96/5,800.75 = 1,675.31/x
  3. Step 3: Cross multiply
    3,866.96x = 5,800.75 × 1,675.31
  4. Step 4: Simplify right side
    3,866.96x = 9,718,021.29
  5. Step 5: Solve for x
    x = 9,718,021.29/3,866.96
  6. Step 6: Final answer
    x = 2,513.09

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