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Finding the Fourth Proportional to 5,307.89, 7,326.92 and 3,538.85

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Solution

The fourth proportional to 5,307.89, 7,326.92 and 3,538.85 is: 4,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.89 : 7,326.92 = 3,538.85 : x
  2. Step 2: Convert to fraction form
    5,307.89/7,326.92 = 3,538.85/x
  3. Step 3: Cross multiply
    5,307.89x = 7,326.92 × 3,538.85
  4. Step 4: Simplify right side
    5,307.89x = 25,928,843.05
  5. Step 5: Solve for x
    x = 25,928,843.05/5,307.89
  6. Step 6: Final answer
    x = 4,884.97

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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.