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Finding the Fourth Proportional to 3,533.50, 5,300.25 and 936.44

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Solution

The fourth proportional to 3,533.50, 5,300.25 and 936.44 is: 1,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.50 : 5,300.25 = 936.44 : x
  2. Step 2: Convert to fraction form
    3,533.50/5,300.25 = 936.44/x
  3. Step 3: Cross multiply
    3,533.50x = 5,300.25 × 936.44
  4. Step 4: Simplify right side
    3,533.50x = 4,963,366.11
  5. Step 5: Solve for x
    x = 4,963,366.11/3,533.50
  6. Step 6: Final answer
    x = 1,404.66

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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.