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Finding the Fourth Proportional to 3,623.52, 5,004 and 3,096.48

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Solution

The fourth proportional to 3,623.52, 5,004 and 3,096.48 is: 4,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.52 : 5,004 = 3,096.48 : x
  2. Step 2: Convert to fraction form
    3,623.52/5,004 = 3,096.48/x
  3. Step 3: Cross multiply
    3,623.52x = 5,004 × 3,096.48
  4. Step 4: Simplify right side
    3,623.52x = 15,494,785.92
  5. Step 5: Solve for x
    x = 15,494,785.92/3,623.52
  6. Step 6: Final answer
    x = 4,276.17

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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.