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Finding the Fourth Proportional to 3,675.74, 5,513.91 and 1,177.29

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Solution

The fourth proportional to 3,675.74, 5,513.91 and 1,177.29 is: 1,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.74 : 5,513.91 = 1,177.29 : x
  2. Step 2: Convert to fraction form
    3,675.74/5,513.91 = 1,177.29/x
  3. Step 3: Cross multiply
    3,675.74x = 5,513.91 × 1,177.29
  4. Step 4: Simplify right side
    3,675.74x = 6,491,471.10
  5. Step 5: Solve for x
    x = 6,491,471.10/3,675.74
  6. Step 6: Final answer
    x = 1,766.03

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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.