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Finding the Fourth Proportional to 5,901.58, 8,144.20 and 3,383.74

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Solution

The fourth proportional to 5,901.58, 8,144.20 and 3,383.74 is: 4,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.58 : 8,144.20 = 3,383.74 : x
  2. Step 2: Convert to fraction form
    5,901.58/8,144.20 = 3,383.74/x
  3. Step 3: Cross multiply
    5,901.58x = 8,144.20 × 3,383.74
  4. Step 4: Simplify right side
    5,901.58x = 27,557,855.31
  5. Step 5: Solve for x
    x = 27,557,855.31/5,901.58
  6. Step 6: Final answer
    x = 4,669.57

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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.