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Finding the Fourth Proportional to 5,644.71, 8,463.72 and 2,311.97

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Solution

The fourth proportional to 5,644.71, 8,463.72 and 2,311.97 is: 3,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.71 : 8,463.72 = 2,311.97 : x
  2. Step 2: Convert to fraction form
    5,644.71/8,463.72 = 2,311.97/x
  3. Step 3: Cross multiply
    5,644.71x = 8,463.72 × 2,311.97
  4. Step 4: Simplify right side
    5,644.71x = 19,567,833.08
  5. Step 5: Solve for x
    x = 19,567,833.08/5,644.71
  6. Step 6: Final answer
    x = 3,466.58

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1.5x scale

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.