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Finding the Fourth Proportional to 6,538.89, 9,023.90 and 3,554.96

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Solution

The fourth proportional to 6,538.89, 9,023.90 and 3,554.96 is: 4,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.89 : 9,023.90 = 3,554.96 : x
  2. Step 2: Convert to fraction form
    6,538.89/9,023.90 = 3,554.96/x
  3. Step 3: Cross multiply
    6,538.89x = 9,023.90 × 3,554.96
  4. Step 4: Simplify right side
    6,538.89x = 32,079,540.65
  5. Step 5: Solve for x
    x = 32,079,540.65/6,538.89
  6. Step 6: Final answer
    x = 4,905.96

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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.