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Finding the Fourth Proportional to 5,957.42, 8,222.21 and 3,305.68

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Solution

The fourth proportional to 5,957.42, 8,222.21 and 3,305.68 is: 4,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.42 : 8,222.21 = 3,305.68 : x
  2. Step 2: Convert to fraction form
    5,957.42/8,222.21 = 3,305.68/x
  3. Step 3: Cross multiply
    5,957.42x = 8,222.21 × 3,305.68
  4. Step 4: Simplify right side
    5,957.42x = 27,179,989.06
  5. Step 5: Solve for x
    x = 27,179,989.06/5,957.42
  6. Step 6: Final answer
    x = 4,562.38

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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.