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Finding the Fourth Proportional to 3,655, 5,484.38 and 2,012.84

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Solution

The fourth proportional to 3,655, 5,484.38 and 2,012.84 is: 3,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655 : 5,484.38 = 2,012.84 : x
  2. Step 2: Convert to fraction form
    3,655/5,484.38 = 2,012.84/x
  3. Step 3: Cross multiply
    3,655x = 5,484.38 × 2,012.84
  4. Step 4: Simplify right side
    3,655x = 11,039,179.44
  5. Step 5: Solve for x
    x = 11,039,179.44/3,655
  6. Step 6: Final answer
    x = 3,020.30

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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.