Home / 3,772-5,205.62-2,200.16

Finding the Fourth Proportional to 3,772, 5,205.62 and 2,200.16

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Solution

The fourth proportional to 3,772, 5,205.62 and 2,200.16 is: 3,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772 : 5,205.62 = 2,200.16 : x
  2. Step 2: Convert to fraction form
    3,772/5,205.62 = 2,200.16/x
  3. Step 3: Cross multiply
    3,772x = 5,205.62 × 2,200.16
  4. Step 4: Simplify right side
    3,772x = 11,453,196.90
  5. Step 5: Solve for x
    x = 11,453,196.90/3,772
  6. Step 6: Final answer
    x = 3,036.37

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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.