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Finding the Fourth Proportional to 3,676.62, 5,511.42 and 1,367.58

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Solution

The fourth proportional to 3,676.62, 5,511.42 and 1,367.58 is: 2,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.62 : 5,511.42 = 1,367.58 : x
  2. Step 2: Convert to fraction form
    3,676.62/5,511.42 = 1,367.58/x
  3. Step 3: Cross multiply
    3,676.62x = 5,511.42 × 1,367.58
  4. Step 4: Simplify right side
    3,676.62x = 7,537,307.76
  5. Step 5: Solve for x
    x = 7,537,307.76/3,676.62
  6. Step 6: Final answer
    x = 2,050.06

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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.