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Finding the Fourth Proportional to 3,753.72, 5,186.16 and 3,200.04

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Solution

The fourth proportional to 3,753.72, 5,186.16 and 3,200.04 is: 4,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.72 : 5,186.16 = 3,200.04 : x
  2. Step 2: Convert to fraction form
    3,753.72/5,186.16 = 3,200.04/x
  3. Step 3: Cross multiply
    3,753.72x = 5,186.16 × 3,200.04
  4. Step 4: Simplify right side
    3,753.72x = 16,595,919.45
  5. Step 5: Solve for x
    x = 16,595,919.45/3,753.72
  6. Step 6: Final answer
    x = 4,421.19

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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.