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Finding the Fourth Proportional to 3,533.25, 5,300.22 and 936.20

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Solution

The fourth proportional to 3,533.25, 5,300.22 and 936.20 is: 1,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.25 : 5,300.22 = 936.20 : x
  2. Step 2: Convert to fraction form
    3,533.25/5,300.22 = 936.20/x
  3. Step 3: Cross multiply
    3,533.25x = 5,300.22 × 936.20
  4. Step 4: Simplify right side
    3,533.25x = 4,962,039.46
  5. Step 5: Solve for x
    x = 4,962,039.46/3,533.25
  6. Step 6: Final answer
    x = 1,404.38

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