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Finding the Fourth Proportional to 5,446.70, 8,108.45 and 5,414.30

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Solution

The fourth proportional to 5,446.70, 8,108.45 and 5,414.30 is: 8,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.70 : 8,108.45 = 5,414.30 : x
  2. Step 2: Convert to fraction form
    5,446.70/8,108.45 = 5,414.30/x
  3. Step 3: Cross multiply
    5,446.70x = 8,108.45 × 5,414.30
  4. Step 4: Simplify right side
    5,446.70x = 43,901,580.84
  5. Step 5: Solve for x
    x = 43,901,580.84/5,446.70
  6. Step 6: Final answer
    x = 8,060.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.