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Finding the Fourth Proportional to 4,313.84, 6,469.54 and 1,193.12

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Solution

The fourth proportional to 4,313.84, 6,469.54 and 1,193.12 is: 1,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.84 : 6,469.54 = 1,193.12 : x
  2. Step 2: Convert to fraction form
    4,313.84/6,469.54 = 1,193.12/x
  3. Step 3: Cross multiply
    4,313.84x = 6,469.54 × 1,193.12
  4. Step 4: Simplify right side
    4,313.84x = 7,718,937.56
  5. Step 5: Solve for x
    x = 7,718,937.56/4,313.84
  6. Step 6: Final answer
    x = 1,789.34

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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.