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Finding the Fourth Proportional to 3,805.62, 5,708.88 and 1,614.06

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Solution

The fourth proportional to 3,805.62, 5,708.88 and 1,614.06 is: 2,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.62 : 5,708.88 = 1,614.06 : x
  2. Step 2: Convert to fraction form
    3,805.62/5,708.88 = 1,614.06/x
  3. Step 3: Cross multiply
    3,805.62x = 5,708.88 × 1,614.06
  4. Step 4: Simplify right side
    3,805.62x = 9,214,474.85
  5. Step 5: Solve for x
    x = 9,214,474.85/3,805.62
  6. Step 6: Final answer
    x = 2,421.28

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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.