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Finding the Fourth Proportional to 5,725.66, 8,591.74 and 2,438.41

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Solution

The fourth proportional to 5,725.66, 8,591.74 and 2,438.41 is: 3,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.66 : 8,591.74 = 2,438.41 : x
  2. Step 2: Convert to fraction form
    5,725.66/8,591.74 = 2,438.41/x
  3. Step 3: Cross multiply
    5,725.66x = 8,591.74 × 2,438.41
  4. Step 4: Simplify right side
    5,725.66x = 20,950,184.73
  5. Step 5: Solve for x
    x = 20,950,184.73/5,725.66
  6. Step 6: Final answer
    x = 3,659.00

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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.