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Finding the Fourth Proportional to 3,328.50, 4,993.33 and 1,107.46

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Solution

The fourth proportional to 3,328.50, 4,993.33 and 1,107.46 is: 1,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.50 : 4,993.33 = 1,107.46 : x
  2. Step 2: Convert to fraction form
    3,328.50/4,993.33 = 1,107.46/x
  3. Step 3: Cross multiply
    3,328.50x = 4,993.33 × 1,107.46
  4. Step 4: Simplify right side
    3,328.50x = 5,529,913.24
  5. Step 5: Solve for x
    x = 5,529,913.24/3,328.50
  6. Step 6: Final answer
    x = 1,661.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.