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Finding the Fourth Proportional to 5,597.27, 7,722.83 and 3,605.42

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Solution

The fourth proportional to 5,597.27, 7,722.83 and 3,605.42 is: 4,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.27 : 7,722.83 = 3,605.42 : x
  2. Step 2: Convert to fraction form
    5,597.27/7,722.83 = 3,605.42/x
  3. Step 3: Cross multiply
    5,597.27x = 7,722.83 × 3,605.42
  4. Step 4: Simplify right side
    5,597.27x = 27,844,027.71
  5. Step 5: Solve for x
    x = 27,844,027.71/5,597.27
  6. Step 6: Final answer
    x = 4,974.58

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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.