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Finding the Fourth Proportional to 3,644.92, 5,474.67 and 3,557.44

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Solution

The fourth proportional to 3,644.92, 5,474.67 and 3,557.44 is: 5,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.92 : 5,474.67 = 3,557.44 : x
  2. Step 2: Convert to fraction form
    3,644.92/5,474.67 = 3,557.44/x
  3. Step 3: Cross multiply
    3,644.92x = 5,474.67 × 3,557.44
  4. Step 4: Simplify right side
    3,644.92x = 19,475,810.04
  5. Step 5: Solve for x
    x = 19,475,810.04/3,644.92
  6. Step 6: Final answer
    x = 5,343.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.