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Finding the Fourth Proportional to 3,896.50, 5,816.49 and 3,607.43

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Solution

The fourth proportional to 3,896.50, 5,816.49 and 3,607.43 is: 5,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.50 : 5,816.49 = 3,607.43 : x
  2. Step 2: Convert to fraction form
    3,896.50/5,816.49 = 3,607.43/x
  3. Step 3: Cross multiply
    3,896.50x = 5,816.49 × 3,607.43
  4. Step 4: Simplify right side
    3,896.50x = 20,982,580.52
  5. Step 5: Solve for x
    x = 20,982,580.52/3,896.50
  6. Step 6: Final answer
    x = 5,384.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.