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Finding the Fourth Proportional to 3,533.07, 5,299.73 and 936.03

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Solution

The fourth proportional to 3,533.07, 5,299.73 and 936.03 is: 1,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.07 : 5,299.73 = 936.03 : x
  2. Step 2: Convert to fraction form
    3,533.07/5,299.73 = 936.03/x
  3. Step 3: Cross multiply
    3,533.07x = 5,299.73 × 936.03
  4. Step 4: Simplify right side
    3,533.07x = 4,960,706.27
  5. Step 5: Solve for x
    x = 4,960,706.27/3,533.07
  6. Step 6: Final answer
    x = 1,404.08

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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.