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Finding the Fourth Proportional to 3,676.59, 5,469.93 and 3,534.03

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Solution

The fourth proportional to 3,676.59, 5,469.93 and 3,534.03 is: 5,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.59 : 5,469.93 = 3,534.03 : x
  2. Step 2: Convert to fraction form
    3,676.59/5,469.93 = 3,534.03/x
  3. Step 3: Cross multiply
    3,676.59x = 5,469.93 × 3,534.03
  4. Step 4: Simplify right side
    3,676.59x = 19,330,896.72
  5. Step 5: Solve for x
    x = 19,330,896.72/3,676.59
  6. Step 6: Final answer
    x = 5,257.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.