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Finding the Fourth Proportional to 3,740.84, 5,609.82 and 1,107.56

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Solution

The fourth proportional to 3,740.84, 5,609.82 and 1,107.56 is: 1,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.84 : 5,609.82 = 1,107.56 : x
  2. Step 2: Convert to fraction form
    3,740.84/5,609.82 = 1,107.56/x
  3. Step 3: Cross multiply
    3,740.84x = 5,609.82 × 1,107.56
  4. Step 4: Simplify right side
    3,740.84x = 6,213,212.24
  5. Step 5: Solve for x
    x = 6,213,212.24/3,740.84
  6. Step 6: Final answer
    x = 1,660.91

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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.