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Finding the Fourth Proportional to 3,775.52, 5,209.67 and 2,096.94

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Solution

The fourth proportional to 3,775.52, 5,209.67 and 2,096.94 is: 2,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.52 : 5,209.67 = 2,096.94 : x
  2. Step 2: Convert to fraction form
    3,775.52/5,209.67 = 2,096.94/x
  3. Step 3: Cross multiply
    3,775.52x = 5,209.67 × 2,096.94
  4. Step 4: Simplify right side
    3,775.52x = 10,924,354.93
  5. Step 5: Solve for x
    x = 10,924,354.93/3,775.52
  6. Step 6: Final answer
    x = 2,893.47

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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.