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Finding the Fourth Proportional to 5,644.12, 7,789.50 and 3,160.12

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Solution

The fourth proportional to 5,644.12, 7,789.50 and 3,160.12 is: 4,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.12 : 7,789.50 = 3,160.12 : x
  2. Step 2: Convert to fraction form
    5,644.12/7,789.50 = 3,160.12/x
  3. Step 3: Cross multiply
    5,644.12x = 7,789.50 × 3,160.12
  4. Step 4: Simplify right side
    5,644.12x = 24,615,754.74
  5. Step 5: Solve for x
    x = 24,615,754.74/5,644.12
  6. Step 6: Final answer
    x = 4,361.31

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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.