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Finding the Fourth Proportional to 5,901.53, 8,144.14 and 3,383.79

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Solution

The fourth proportional to 5,901.53, 8,144.14 and 3,383.79 is: 4,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.53 : 8,144.14 = 3,383.79 : x
  2. Step 2: Convert to fraction form
    5,901.53/8,144.14 = 3,383.79/x
  3. Step 3: Cross multiply
    5,901.53x = 8,144.14 × 3,383.79
  4. Step 4: Simplify right side
    5,901.53x = 27,558,059.49
  5. Step 5: Solve for x
    x = 27,558,059.49/5,901.53
  6. Step 6: Final answer
    x = 4,669.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.