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Finding the Fourth Proportional to 5,538.57, 7,676.23 and 5,434.89

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Solution

The fourth proportional to 5,538.57, 7,676.23 and 5,434.89 is: 7,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.57 : 7,676.23 = 5,434.89 : x
  2. Step 2: Convert to fraction form
    5,538.57/7,676.23 = 5,434.89/x
  3. Step 3: Cross multiply
    5,538.57x = 7,676.23 × 5,434.89
  4. Step 4: Simplify right side
    5,538.57x = 41,719,438.49
  5. Step 5: Solve for x
    x = 41,719,438.49/5,538.57
  6. Step 6: Final answer
    x = 7,532.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.