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Finding the Fourth Proportional to 5,496.50, 7,583.06 and 3,609.09

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Solution

The fourth proportional to 5,496.50, 7,583.06 and 3,609.09 is: 4,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.50 : 7,583.06 = 3,609.09 : x
  2. Step 2: Convert to fraction form
    5,496.50/7,583.06 = 3,609.09/x
  3. Step 3: Cross multiply
    5,496.50x = 7,583.06 × 3,609.09
  4. Step 4: Simplify right side
    5,496.50x = 27,367,927.97
  5. Step 5: Solve for x
    x = 27,367,927.97/5,496.50
  6. Step 6: Final answer
    x = 4,979.16

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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.