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Finding the Fourth Proportional to 5,738.80, 7,917.60 and 3,644.14

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Solution

The fourth proportional to 5,738.80, 7,917.60 and 3,644.14 is: 5,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.80 : 7,917.60 = 3,644.14 : x
  2. Step 2: Convert to fraction form
    5,738.80/7,917.60 = 3,644.14/x
  3. Step 3: Cross multiply
    5,738.80x = 7,917.60 × 3,644.14
  4. Step 4: Simplify right side
    5,738.80x = 28,852,842.86
  5. Step 5: Solve for x
    x = 28,852,842.86/5,738.80
  6. Step 6: Final answer
    x = 5,027.68

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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.