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Finding the Fourth Proportional to 3,601.76, 5,399.28 and 1,652

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Solution

The fourth proportional to 3,601.76, 5,399.28 and 1,652 is: 2,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.76 : 5,399.28 = 1,652 : x
  2. Step 2: Convert to fraction form
    3,601.76/5,399.28 = 1,652/x
  3. Step 3: Cross multiply
    3,601.76x = 5,399.28 × 1,652
  4. Step 4: Simplify right side
    3,601.76x = 8,919,610.56
  5. Step 5: Solve for x
    x = 8,919,610.56/3,601.76
  6. Step 6: Final answer
    x = 2,476.46

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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.