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Finding the Fourth Proportional to 5,586.79, 8,383.09 and 2,255.86

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Solution

The fourth proportional to 5,586.79, 8,383.09 and 2,255.86 is: 3,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.79 : 8,383.09 = 2,255.86 : x
  2. Step 2: Convert to fraction form
    5,586.79/8,383.09 = 2,255.86/x
  3. Step 3: Cross multiply
    5,586.79x = 8,383.09 × 2,255.86
  4. Step 4: Simplify right side
    5,586.79x = 18,911,040.06
  5. Step 5: Solve for x
    x = 18,911,040.06/5,586.79
  6. Step 6: Final answer
    x = 3,384.96

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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.