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Finding the Fourth Proportional to 3,772.88, 5,206.56 and 2,201

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Solution

The fourth proportional to 3,772.88, 5,206.56 and 2,201 is: 3,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.88 : 5,206.56 = 2,201 : x
  2. Step 2: Convert to fraction form
    3,772.88/5,206.56 = 2,201/x
  3. Step 3: Cross multiply
    3,772.88x = 5,206.56 × 2,201
  4. Step 4: Simplify right side
    3,772.88x = 11,459,638.56
  5. Step 5: Solve for x
    x = 11,459,638.56/3,772.88
  6. Step 6: Final answer
    x = 3,037.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.