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Finding the Fourth Proportional to 3,801.70, 5,700.84 and 1,609.30

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Solution

The fourth proportional to 3,801.70, 5,700.84 and 1,609.30 is: 2,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.70 : 5,700.84 = 1,609.30 : x
  2. Step 2: Convert to fraction form
    3,801.70/5,700.84 = 1,609.30/x
  3. Step 3: Cross multiply
    3,801.70x = 5,700.84 × 1,609.30
  4. Step 4: Simplify right side
    3,801.70x = 9,174,361.81
  5. Step 5: Solve for x
    x = 9,174,361.81/3,801.70
  6. Step 6: Final answer
    x = 2,413.23

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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.