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Finding the Fourth Proportional to 3,740.69, 5,609.31 and 1,107.25

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Solution

The fourth proportional to 3,740.69, 5,609.31 and 1,107.25 is: 1,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.69 : 5,609.31 = 1,107.25 : x
  2. Step 2: Convert to fraction form
    3,740.69/5,609.31 = 1,107.25/x
  3. Step 3: Cross multiply
    3,740.69x = 5,609.31 × 1,107.25
  4. Step 4: Simplify right side
    3,740.69x = 6,210,922.52
  5. Step 5: Solve for x
    x = 6,210,922.52/3,740.69
  6. Step 6: Final answer
    x = 1,660.37

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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.