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Finding the Fourth Proportional to 3,665.31, 5,058.09 and 1,986.67

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Solution

The fourth proportional to 3,665.31, 5,058.09 and 1,986.67 is: 2,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.31 : 5,058.09 = 1,986.67 : x
  2. Step 2: Convert to fraction form
    3,665.31/5,058.09 = 1,986.67/x
  3. Step 3: Cross multiply
    3,665.31x = 5,058.09 × 1,986.67
  4. Step 4: Simplify right side
    3,665.31x = 10,048,755.66
  5. Step 5: Solve for x
    x = 10,048,755.66/3,665.31
  6. Step 6: Final answer
    x = 2,741.58

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