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Finding the Fourth Proportional to 3,775.80, 5,209.85 and 2,096.98

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Solution

The fourth proportional to 3,775.80, 5,209.85 and 2,096.98 is: 2,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.80 : 5,209.85 = 2,096.98 : x
  2. Step 2: Convert to fraction form
    3,775.80/5,209.85 = 2,096.98/x
  3. Step 3: Cross multiply
    3,775.80x = 5,209.85 × 2,096.98
  4. Step 4: Simplify right side
    3,775.80x = 10,924,943.47
  5. Step 5: Solve for x
    x = 10,924,943.47/3,775.80
  6. Step 6: Final answer
    x = 2,893.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.