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Finding the Fourth Proportional to 3,533.84, 5,300.73 and 936.75

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Solution

The fourth proportional to 3,533.84, 5,300.73 and 936.75 is: 1,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.84 : 5,300.73 = 936.75 : x
  2. Step 2: Convert to fraction form
    3,533.84/5,300.73 = 936.75/x
  3. Step 3: Cross multiply
    3,533.84x = 5,300.73 × 936.75
  4. Step 4: Simplify right side
    3,533.84x = 4,965,458.83
  5. Step 5: Solve for x
    x = 4,965,458.83/3,533.84
  6. Step 6: Final answer
    x = 1,405.12

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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.