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Finding the Fourth Proportional to 5,644.02, 7,789.05 and 3,548.82

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Solution

The fourth proportional to 5,644.02, 7,789.05 and 3,548.82 is: 4,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.02 : 7,789.05 = 3,548.82 : x
  2. Step 2: Convert to fraction form
    5,644.02/7,789.05 = 3,548.82/x
  3. Step 3: Cross multiply
    5,644.02x = 7,789.05 × 3,548.82
  4. Step 4: Simplify right side
    5,644.02x = 27,641,936.42
  5. Step 5: Solve for x
    x = 27,641,936.42/5,644.02
  6. Step 6: Final answer
    x = 4,897.56

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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.