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Finding the Fourth Proportional to 3,672.77, 5,505 and 1,825.20

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Solution

The fourth proportional to 3,672.77, 5,505 and 1,825.20 is: 2,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.77 : 5,505 = 1,825.20 : x
  2. Step 2: Convert to fraction form
    3,672.77/5,505 = 1,825.20/x
  3. Step 3: Cross multiply
    3,672.77x = 5,505 × 1,825.20
  4. Step 4: Simplify right side
    3,672.77x = 10,047,726
  5. Step 5: Solve for x
    x = 10,047,726/3,672.77
  6. Step 6: Final answer
    x = 2,735.74

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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.