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Finding the Fourth Proportional to 3,642.12, 5,455.05 and 3,167.52

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Solution

The fourth proportional to 3,642.12, 5,455.05 and 3,167.52 is: 4,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.12 : 5,455.05 = 3,167.52 : x
  2. Step 2: Convert to fraction form
    3,642.12/5,455.05 = 3,167.52/x
  3. Step 3: Cross multiply
    3,642.12x = 5,455.05 × 3,167.52
  4. Step 4: Simplify right side
    3,642.12x = 17,278,979.98
  5. Step 5: Solve for x
    x = 17,278,979.98/3,642.12
  6. Step 6: Final answer
    x = 4,744.21

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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.