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Finding the Fourth Proportional to 3,637.69, 5,456.53 and 1,329.19

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Solution

The fourth proportional to 3,637.69, 5,456.53 and 1,329.19 is: 1,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.69 : 5,456.53 = 1,329.19 : x
  2. Step 2: Convert to fraction form
    3,637.69/5,456.53 = 1,329.19/x
  3. Step 3: Cross multiply
    3,637.69x = 5,456.53 × 1,329.19
  4. Step 4: Simplify right side
    3,637.69x = 7,252,765.11
  5. Step 5: Solve for x
    x = 7,252,765.11/3,637.69
  6. Step 6: Final answer
    x = 1,993.78

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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.