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Finding the Fourth Proportional to 3,770.87, 5,201.69 and 2,405.58

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Solution

The fourth proportional to 3,770.87, 5,201.69 and 2,405.58 is: 3,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.87 : 5,201.69 = 2,405.58 : x
  2. Step 2: Convert to fraction form
    3,770.87/5,201.69 = 2,405.58/x
  3. Step 3: Cross multiply
    3,770.87x = 5,201.69 × 2,405.58
  4. Step 4: Simplify right side
    3,770.87x = 12,513,049.90
  5. Step 5: Solve for x
    x = 12,513,049.90/3,770.87
  6. Step 6: Final answer
    x = 3,318.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.