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Finding the Fourth Proportional to 5,538.50, 7,644 and 3,548.96

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Solution

The fourth proportional to 5,538.50, 7,644 and 3,548.96 is: 4,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.50 : 7,644 = 3,548.96 : x
  2. Step 2: Convert to fraction form
    5,538.50/7,644 = 3,548.96/x
  3. Step 3: Cross multiply
    5,538.50x = 7,644 × 3,548.96
  4. Step 4: Simplify right side
    5,538.50x = 27,128,250.24
  5. Step 5: Solve for x
    x = 27,128,250.24/5,538.50
  6. Step 6: Final answer
    x = 4,898.12

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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.