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Finding the Fourth Proportional to 5,644.71, 8,466.86 and 2,134.58

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Solution

The fourth proportional to 5,644.71, 8,466.86 and 2,134.58 is: 3,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.71 : 8,466.86 = 2,134.58 : x
  2. Step 2: Convert to fraction form
    5,644.71/8,466.86 = 2,134.58/x
  3. Step 3: Cross multiply
    5,644.71x = 8,466.86 × 2,134.58
  4. Step 4: Simplify right side
    5,644.71x = 18,073,153.02
  5. Step 5: Solve for x
    x = 18,073,153.02/5,644.71
  6. Step 6: Final answer
    x = 3,201.79

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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.