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Finding the Fourth Proportional to 3,802.14, 5,699.57 and 1,609.67

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Solution

The fourth proportional to 3,802.14, 5,699.57 and 1,609.67 is: 2,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.14 : 5,699.57 = 1,609.67 : x
  2. Step 2: Convert to fraction form
    3,802.14/5,699.57 = 1,609.67/x
  3. Step 3: Cross multiply
    3,802.14x = 5,699.57 × 1,609.67
  4. Step 4: Simplify right side
    3,802.14x = 9,174,433.04
  5. Step 5: Solve for x
    x = 9,174,433.04/3,802.14
  6. Step 6: Final answer
    x = 2,412.97

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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.