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Finding the Fourth Proportional to 3,586.32, 5,383.80 and 2,134.80

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Solution

The fourth proportional to 3,586.32, 5,383.80 and 2,134.80 is: 3,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.32 : 5,383.80 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    3,586.32/5,383.80 = 2,134.80/x
  3. Step 3: Cross multiply
    3,586.32x = 5,383.80 × 2,134.80
  4. Step 4: Simplify right side
    3,586.32x = 11,493,336.24
  5. Step 5: Solve for x
    x = 11,493,336.24/3,586.32
  6. Step 6: Final answer
    x = 3,204.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.