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Finding the Fourth Proportional to 3,571.92, 5,358.65 and 1,106.69

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Solution

The fourth proportional to 3,571.92, 5,358.65 and 1,106.69 is: 1,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.92 : 5,358.65 = 1,106.69 : x
  2. Step 2: Convert to fraction form
    3,571.92/5,358.65 = 1,106.69/x
  3. Step 3: Cross multiply
    3,571.92x = 5,358.65 × 1,106.69
  4. Step 4: Simplify right side
    3,571.92x = 5,930,332.04
  5. Step 5: Solve for x
    x = 5,930,332.04/3,571.92
  6. Step 6: Final answer
    x = 1,660.26

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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.