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Finding the Fourth Proportional to 5,927.54, 8,179.77 and 3,407.94

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Solution

The fourth proportional to 5,927.54, 8,179.77 and 3,407.94 is: 4,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.54 : 8,179.77 = 3,407.94 : x
  2. Step 2: Convert to fraction form
    5,927.54/8,179.77 = 3,407.94/x
  3. Step 3: Cross multiply
    5,927.54x = 8,179.77 × 3,407.94
  4. Step 4: Simplify right side
    5,927.54x = 27,876,138.85
  5. Step 5: Solve for x
    x = 27,876,138.85/5,927.54
  6. Step 6: Final answer
    x = 4,702.82

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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.