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Finding the Fourth Proportional to 3,773, 5,206.30 and 2,201.04

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Solution

The fourth proportional to 3,773, 5,206.30 and 2,201.04 is: 3,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773 : 5,206.30 = 2,201.04 : x
  2. Step 2: Convert to fraction form
    3,773/5,206.30 = 2,201.04/x
  3. Step 3: Cross multiply
    3,773x = 5,206.30 × 2,201.04
  4. Step 4: Simplify right side
    3,773x = 11,459,274.55
  5. Step 5: Solve for x
    x = 11,459,274.55/3,773
  6. Step 6: Final answer
    x = 3,037.18

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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.