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Finding the Fourth Proportional to 3,542.12, 5,313.88 and 1,984.33

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Solution

The fourth proportional to 3,542.12, 5,313.88 and 1,984.33 is: 2,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.12 : 5,313.88 = 1,984.33 : x
  2. Step 2: Convert to fraction form
    3,542.12/5,313.88 = 1,984.33/x
  3. Step 3: Cross multiply
    3,542.12x = 5,313.88 × 1,984.33
  4. Step 4: Simplify right side
    3,542.12x = 10,544,491.50
  5. Step 5: Solve for x
    x = 10,544,491.50/3,542.12
  6. Step 6: Final answer
    x = 2,976.89

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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.