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Finding the Fourth Proportional to 5,992.70, 8,269.73 and 3,755.78

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Solution

The fourth proportional to 5,992.70, 8,269.73 and 3,755.78 is: 5,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.70 : 8,269.73 = 3,755.78 : x
  2. Step 2: Convert to fraction form
    5,992.70/8,269.73 = 3,755.78/x
  3. Step 3: Cross multiply
    5,992.70x = 8,269.73 × 3,755.78
  4. Step 4: Simplify right side
    5,992.70x = 31,059,271.51
  5. Step 5: Solve for x
    x = 31,059,271.51/5,992.70
  6. Step 6: Final answer
    x = 5,182.86

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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.