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Finding the Fourth Proportional to 3,701.87, 5,554.34 and 1,620.80

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Solution

The fourth proportional to 3,701.87, 5,554.34 and 1,620.80 is: 2,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.87 : 5,554.34 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    3,701.87/5,554.34 = 1,620.80/x
  3. Step 3: Cross multiply
    3,701.87x = 5,554.34 × 1,620.80
  4. Step 4: Simplify right side
    3,701.87x = 9,002,474.27
  5. Step 5: Solve for x
    x = 9,002,474.27/3,701.87
  6. Step 6: Final answer
    x = 2,431.87

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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.