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Finding the Fourth Proportional to 3,533.09, 5,299.70 and 936.05

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Solution

The fourth proportional to 3,533.09, 5,299.70 and 936.05 is: 1,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.09 : 5,299.70 = 936.05 : x
  2. Step 2: Convert to fraction form
    3,533.09/5,299.70 = 936.05/x
  3. Step 3: Cross multiply
    3,533.09x = 5,299.70 × 936.05
  4. Step 4: Simplify right side
    3,533.09x = 4,960,753.01
  5. Step 5: Solve for x
    x = 4,960,753.01/3,533.09
  6. Step 6: Final answer
    x = 1,404.09

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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.