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Finding the Fourth Proportional to 5,729.94, 7,906.92 and 3,491.91

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Solution

The fourth proportional to 5,729.94, 7,906.92 and 3,491.91 is: 4,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.94 : 7,906.92 = 3,491.91 : x
  2. Step 2: Convert to fraction form
    5,729.94/7,906.92 = 3,491.91/x
  3. Step 3: Cross multiply
    5,729.94x = 7,906.92 × 3,491.91
  4. Step 4: Simplify right side
    5,729.94x = 27,610,239.92
  5. Step 5: Solve for x
    x = 27,610,239.92/5,729.94
  6. Step 6: Final answer
    x = 4,818.59

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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.