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Finding the Fourth Proportional to 3,874.92, 5,815.20 and 2,903.64

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Solution

The fourth proportional to 3,874.92, 5,815.20 and 2,903.64 is: 4,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.92 : 5,815.20 = 2,903.64 : x
  2. Step 2: Convert to fraction form
    3,874.92/5,815.20 = 2,903.64/x
  3. Step 3: Cross multiply
    3,874.92x = 5,815.20 × 2,903.64
  4. Step 4: Simplify right side
    3,874.92x = 16,885,247.33
  5. Step 5: Solve for x
    x = 16,885,247.33/3,874.92
  6. Step 6: Final answer
    x = 4,357.57

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1.5x scale

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.