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Finding the Fourth Proportional to 3,678.97, 5,076.99 and 2,000.40

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Solution

The fourth proportional to 3,678.97, 5,076.99 and 2,000.40 is: 2,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.97 : 5,076.99 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    3,678.97/5,076.99 = 2,000.40/x
  3. Step 3: Cross multiply
    3,678.97x = 5,076.99 × 2,000.40
  4. Step 4: Simplify right side
    3,678.97x = 10,156,010.80
  5. Step 5: Solve for x
    x = 10,156,010.80/3,678.97
  6. Step 6: Final answer
    x = 2,760.56

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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.