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Finding the Fourth Proportional to 3,809.46, 5,713.82 and 2,584.74

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Solution

The fourth proportional to 3,809.46, 5,713.82 and 2,584.74 is: 3,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.46 : 5,713.82 = 2,584.74 : x
  2. Step 2: Convert to fraction form
    3,809.46/5,713.82 = 2,584.74/x
  3. Step 3: Cross multiply
    3,809.46x = 5,713.82 × 2,584.74
  4. Step 4: Simplify right side
    3,809.46x = 14,768,739.11
  5. Step 5: Solve for x
    x = 14,768,739.11/3,809.46
  6. Step 6: Final answer
    x = 3,876.86

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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.