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Finding the Fourth Proportional to 3,823.61, 5,725.70 and 3,502.85

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Solution

The fourth proportional to 3,823.61, 5,725.70 and 3,502.85 is: 5,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.61 : 5,725.70 = 3,502.85 : x
  2. Step 2: Convert to fraction form
    3,823.61/5,725.70 = 3,502.85/x
  3. Step 3: Cross multiply
    3,823.61x = 5,725.70 × 3,502.85
  4. Step 4: Simplify right side
    3,823.61x = 20,056,250.73
  5. Step 5: Solve for x
    x = 20,056,250.73/3,823.61
  6. Step 6: Final answer
    x = 5,245.37

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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.