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Finding the Fourth Proportional to 3,998.52, 5,969.03 and 3,175.65

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Solution

The fourth proportional to 3,998.52, 5,969.03 and 3,175.65 is: 4,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.52 : 5,969.03 = 3,175.65 : x
  2. Step 2: Convert to fraction form
    3,998.52/5,969.03 = 3,175.65/x
  3. Step 3: Cross multiply
    3,998.52x = 5,969.03 × 3,175.65
  4. Step 4: Simplify right side
    3,998.52x = 18,955,534.24
  5. Step 5: Solve for x
    x = 18,955,534.24/3,998.52
  6. Step 6: Final answer
    x = 4,740.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.