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Finding the Fourth Proportional to 5,734.86, 8,602.27 and 3,786.60

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Solution

The fourth proportional to 5,734.86, 8,602.27 and 3,786.60 is: 5,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.86 : 8,602.27 = 3,786.60 : x
  2. Step 2: Convert to fraction form
    5,734.86/8,602.27 = 3,786.60/x
  3. Step 3: Cross multiply
    5,734.86x = 8,602.27 × 3,786.60
  4. Step 4: Simplify right side
    5,734.86x = 32,573,355.58
  5. Step 5: Solve for x
    x = 32,573,355.58/5,734.86
  6. Step 6: Final answer
    x = 5,679.89

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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.