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Finding the Fourth Proportional to 3,525.44, 5,288.24 and 1,333.64

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Solution

The fourth proportional to 3,525.44, 5,288.24 and 1,333.64 is: 2,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.44 : 5,288.24 = 1,333.64 : x
  2. Step 2: Convert to fraction form
    3,525.44/5,288.24 = 1,333.64/x
  3. Step 3: Cross multiply
    3,525.44x = 5,288.24 × 1,333.64
  4. Step 4: Simplify right side
    3,525.44x = 7,052,608.39
  5. Step 5: Solve for x
    x = 7,052,608.39/3,525.44
  6. Step 6: Final answer
    x = 2,000.49

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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.