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Finding the Fourth Proportional to 3,670.55, 5,504.19 and 1,171.27

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Solution

The fourth proportional to 3,670.55, 5,504.19 and 1,171.27 is: 1,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.55 : 5,504.19 = 1,171.27 : x
  2. Step 2: Convert to fraction form
    3,670.55/5,504.19 = 1,171.27/x
  3. Step 3: Cross multiply
    3,670.55x = 5,504.19 × 1,171.27
  4. Step 4: Simplify right side
    3,670.55x = 6,446,859.24
  5. Step 5: Solve for x
    x = 6,446,859.24/3,670.55
  6. Step 6: Final answer
    x = 1,756.38

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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.