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Finding the Fourth Proportional to 4,537.56, 6,799.96 and 3,609

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Solution

The fourth proportional to 4,537.56, 6,799.96 and 3,609 is: 5,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.56 : 6,799.96 = 3,609 : x
  2. Step 2: Convert to fraction form
    4,537.56/6,799.96 = 3,609/x
  3. Step 3: Cross multiply
    4,537.56x = 6,799.96 × 3,609
  4. Step 4: Simplify right side
    4,537.56x = 24,541,055.64
  5. Step 5: Solve for x
    x = 24,541,055.64/4,537.56
  6. Step 6: Final answer
    x = 5,408.43

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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.