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Finding the Fourth Proportional to 5,348.92, 8,025 and 2,230.42

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Solution

The fourth proportional to 5,348.92, 8,025 and 2,230.42 is: 3,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.92 : 8,025 = 2,230.42 : x
  2. Step 2: Convert to fraction form
    5,348.92/8,025 = 2,230.42/x
  3. Step 3: Cross multiply
    5,348.92x = 8,025 × 2,230.42
  4. Step 4: Simplify right side
    5,348.92x = 17,899,120.50
  5. Step 5: Solve for x
    x = 17,899,120.50/5,348.92
  6. Step 6: Final answer
    x = 3,346.31

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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.