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Finding the Fourth Proportional to 5,966.26, 8,234.22 and 3,607.94

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Solution

The fourth proportional to 5,966.26, 8,234.22 and 3,607.94 is: 4,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.26 : 8,234.22 = 3,607.94 : x
  2. Step 2: Convert to fraction form
    5,966.26/8,234.22 = 3,607.94/x
  3. Step 3: Cross multiply
    5,966.26x = 8,234.22 × 3,607.94
  4. Step 4: Simplify right side
    5,966.26x = 29,708,605.82
  5. Step 5: Solve for x
    x = 29,708,605.82/5,966.26
  6. Step 6: Final answer
    x = 4,979.44

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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.