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Finding the Fourth Proportional to 5,601.16, 7,731.30 and 3,243.88

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Solution

The fourth proportional to 5,601.16, 7,731.30 and 3,243.88 is: 4,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.16 : 7,731.30 = 3,243.88 : x
  2. Step 2: Convert to fraction form
    5,601.16/7,731.30 = 3,243.88/x
  3. Step 3: Cross multiply
    5,601.16x = 7,731.30 × 3,243.88
  4. Step 4: Simplify right side
    5,601.16x = 25,079,409.44
  5. Step 5: Solve for x
    x = 25,079,409.44/5,601.16
  6. Step 6: Final answer
    x = 4,477.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.