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Finding the Fourth Proportional to 3,750.92, 5,622.14 and 2,286.86

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Solution

The fourth proportional to 3,750.92, 5,622.14 and 2,286.86 is: 3,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.92 : 5,622.14 = 2,286.86 : x
  2. Step 2: Convert to fraction form
    3,750.92/5,622.14 = 2,286.86/x
  3. Step 3: Cross multiply
    3,750.92x = 5,622.14 × 2,286.86
  4. Step 4: Simplify right side
    3,750.92x = 12,857,024.69
  5. Step 5: Solve for x
    x = 12,857,024.69/3,750.92
  6. Step 6: Final answer
    x = 3,427.70

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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.