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Finding the Fourth Proportional to 5,644.46, 7,789.63 and 3,406.30

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Solution

The fourth proportional to 5,644.46, 7,789.63 and 3,406.30 is: 4,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.46 : 7,789.63 = 3,406.30 : x
  2. Step 2: Convert to fraction form
    5,644.46/7,789.63 = 3,406.30/x
  3. Step 3: Cross multiply
    5,644.46x = 7,789.63 × 3,406.30
  4. Step 4: Simplify right side
    5,644.46x = 26,533,786.24
  5. Step 5: Solve for x
    x = 26,533,786.24/5,644.46
  6. Step 6: Final answer
    x = 4,700.86

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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.