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Finding the Fourth Proportional to 5,976.21, 8,243.80 and 3,585.54

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Solution

The fourth proportional to 5,976.21, 8,243.80 and 3,585.54 is: 4,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.21 : 8,243.80 = 3,585.54 : x
  2. Step 2: Convert to fraction form
    5,976.21/8,243.80 = 3,585.54/x
  3. Step 3: Cross multiply
    5,976.21x = 8,243.80 × 3,585.54
  4. Step 4: Simplify right side
    5,976.21x = 29,558,474.65
  5. Step 5: Solve for x
    x = 29,558,474.65/5,976.21
  6. Step 6: Final answer
    x = 4,946.02

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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.