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Finding the Fourth Proportional to 3,676.95, 5,512.86 and 2,946.33

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Solution

The fourth proportional to 3,676.95, 5,512.86 and 2,946.33 is: 4,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.95 : 5,512.86 = 2,946.33 : x
  2. Step 2: Convert to fraction form
    3,676.95/5,512.86 = 2,946.33/x
  3. Step 3: Cross multiply
    3,676.95x = 5,512.86 × 2,946.33
  4. Step 4: Simplify right side
    3,676.95x = 16,242,704.80
  5. Step 5: Solve for x
    x = 16,242,704.80/3,676.95
  6. Step 6: Final answer
    x = 4,417.44

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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.