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Finding the Fourth Proportional to 3,660.25, 5,051.16 and 2,004.25

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Solution

The fourth proportional to 3,660.25, 5,051.16 and 2,004.25 is: 2,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.25 : 5,051.16 = 2,004.25 : x
  2. Step 2: Convert to fraction form
    3,660.25/5,051.16 = 2,004.25/x
  3. Step 3: Cross multiply
    3,660.25x = 5,051.16 × 2,004.25
  4. Step 4: Simplify right side
    3,660.25x = 10,123,787.43
  5. Step 5: Solve for x
    x = 10,123,787.43/3,660.25
  6. Step 6: Final answer
    x = 2,765.87

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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.