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Finding the Fourth Proportional to 5,472.36, 7,548.80 and 3,584.25

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Solution

The fourth proportional to 5,472.36, 7,548.80 and 3,584.25 is: 4,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.36 : 7,548.80 = 3,584.25 : x
  2. Step 2: Convert to fraction form
    5,472.36/7,548.80 = 3,584.25/x
  3. Step 3: Cross multiply
    5,472.36x = 7,548.80 × 3,584.25
  4. Step 4: Simplify right side
    5,472.36x = 27,056,768.48
  5. Step 5: Solve for x
    x = 27,056,768.48/5,472.36
  6. Step 6: Final answer
    x = 4,944.26

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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.