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Finding the Fourth Proportional to 3,647.55, 5,471.40 and 1,182.37

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Solution

The fourth proportional to 3,647.55, 5,471.40 and 1,182.37 is: 1,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.55 : 5,471.40 = 1,182.37 : x
  2. Step 2: Convert to fraction form
    3,647.55/5,471.40 = 1,182.37/x
  3. Step 3: Cross multiply
    3,647.55x = 5,471.40 × 1,182.37
  4. Step 4: Simplify right side
    3,647.55x = 6,469,209.97
  5. Step 5: Solve for x
    x = 6,469,209.97/3,647.55
  6. Step 6: Final answer
    x = 1,773.57

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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.