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Finding the Fourth Proportional to 3,740.79, 5,609.46 and 1,107.35

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Solution

The fourth proportional to 3,740.79, 5,609.46 and 1,107.35 is: 1,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.79 : 5,609.46 = 1,107.35 : x
  2. Step 2: Convert to fraction form
    3,740.79/5,609.46 = 1,107.35/x
  3. Step 3: Cross multiply
    3,740.79x = 5,609.46 × 1,107.35
  4. Step 4: Simplify right side
    3,740.79x = 6,211,632.67
  5. Step 5: Solve for x
    x = 6,211,632.67/3,740.79
  6. Step 6: Final answer
    x = 1,660.51

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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.