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Finding the Fourth Proportional to 5,286.72, 7,924.80 and 3,533.20

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Solution

The fourth proportional to 5,286.72, 7,924.80 and 3,533.20 is: 5,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.72 : 7,924.80 = 3,533.20 : x
  2. Step 2: Convert to fraction form
    5,286.72/7,924.80 = 3,533.20/x
  3. Step 3: Cross multiply
    5,286.72x = 7,924.80 × 3,533.20
  4. Step 4: Simplify right side
    5,286.72x = 27,999,903.36
  5. Step 5: Solve for x
    x = 27,999,903.36/5,286.72
  6. Step 6: Final answer
    x = 5,296.27

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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.