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Finding the Fourth Proportional to 5,966.22, 8,231.31 and 3,695.79

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Solution

The fourth proportional to 5,966.22, 8,231.31 and 3,695.79 is: 5,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.22 : 8,231.31 = 3,695.79 : x
  2. Step 2: Convert to fraction form
    5,966.22/8,231.31 = 3,695.79/x
  3. Step 3: Cross multiply
    5,966.22x = 8,231.31 × 3,695.79
  4. Step 4: Simplify right side
    5,966.22x = 30,421,193.18
  5. Step 5: Solve for x
    x = 30,421,193.18/5,966.22
  6. Step 6: Final answer
    x = 5,098.91

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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.