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Finding the Fourth Proportional to 5,644.81, 8,454.93 and 3,446.88

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Solution

The fourth proportional to 5,644.81, 8,454.93 and 3,446.88 is: 5,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.81 : 8,454.93 = 3,446.88 : x
  2. Step 2: Convert to fraction form
    5,644.81/8,454.93 = 3,446.88/x
  3. Step 3: Cross multiply
    5,644.81x = 8,454.93 × 3,446.88
  4. Step 4: Simplify right side
    5,644.81x = 29,143,086.84
  5. Step 5: Solve for x
    x = 29,143,086.84/5,644.81
  6. Step 6: Final answer
    x = 5,162.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.