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Finding the Fourth Proportional to 3,265.56, 4,909.20 and 2,580.42

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Solution

The fourth proportional to 3,265.56, 4,909.20 and 2,580.42 is: 3,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.56 : 4,909.20 = 2,580.42 : x
  2. Step 2: Convert to fraction form
    3,265.56/4,909.20 = 2,580.42/x
  3. Step 3: Cross multiply
    3,265.56x = 4,909.20 × 2,580.42
  4. Step 4: Simplify right side
    3,265.56x = 12,667,797.86
  5. Step 5: Solve for x
    x = 12,667,797.86/3,265.56
  6. Step 6: Final answer
    x = 3,879.21

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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.