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Finding the Fourth Proportional to 3,675.50, 5,513.28 and 1,367

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Solution

The fourth proportional to 3,675.50, 5,513.28 and 1,367 is: 2,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.50 : 5,513.28 = 1,367 : x
  2. Step 2: Convert to fraction form
    3,675.50/5,513.28 = 1,367/x
  3. Step 3: Cross multiply
    3,675.50x = 5,513.28 × 1,367
  4. Step 4: Simplify right side
    3,675.50x = 7,536,653.76
  5. Step 5: Solve for x
    x = 7,536,653.76/3,675.50
  6. Step 6: Final answer
    x = 2,050.51

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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.