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Finding the Fourth Proportional to 3,980.72, 5,475.12 and 3,193.04

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Solution

The fourth proportional to 3,980.72, 5,475.12 and 3,193.04 is: 4,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.72 : 5,475.12 = 3,193.04 : x
  2. Step 2: Convert to fraction form
    3,980.72/5,475.12 = 3,193.04/x
  3. Step 3: Cross multiply
    3,980.72x = 5,475.12 × 3,193.04
  4. Step 4: Simplify right side
    3,980.72x = 17,482,249.79
  5. Step 5: Solve for x
    x = 17,482,249.79/3,980.72
  6. Step 6: Final answer
    x = 4,391.74

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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.