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Finding the Fourth Proportional to 5,836.51, 8,052.65 and 3,446.70

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Solution

The fourth proportional to 5,836.51, 8,052.65 and 3,446.70 is: 4,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.51 : 8,052.65 = 3,446.70 : x
  2. Step 2: Convert to fraction form
    5,836.51/8,052.65 = 3,446.70/x
  3. Step 3: Cross multiply
    5,836.51x = 8,052.65 × 3,446.70
  4. Step 4: Simplify right side
    5,836.51x = 27,755,079.56
  5. Step 5: Solve for x
    x = 27,755,079.56/5,836.51
  6. Step 6: Final answer
    x = 4,755.42

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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.