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Finding the Fourth Proportional to 3,835.87, 5,725.80 and 3,291.55

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Solution

The fourth proportional to 3,835.87, 5,725.80 and 3,291.55 is: 4,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.87 : 5,725.80 = 3,291.55 : x
  2. Step 2: Convert to fraction form
    3,835.87/5,725.80 = 3,291.55/x
  3. Step 3: Cross multiply
    3,835.87x = 5,725.80 × 3,291.55
  4. Step 4: Simplify right side
    3,835.87x = 18,846,736.50
  5. Step 5: Solve for x
    x = 18,846,736.50/3,835.87
  6. Step 6: Final answer
    x = 4,913.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.