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Finding the Fourth Proportional to 3,614.63, 5,419.81 and 1,765.19

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Solution

The fourth proportional to 3,614.63, 5,419.81 and 1,765.19 is: 2,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.63 : 5,419.81 = 1,765.19 : x
  2. Step 2: Convert to fraction form
    3,614.63/5,419.81 = 1,765.19/x
  3. Step 3: Cross multiply
    3,614.63x = 5,419.81 × 1,765.19
  4. Step 4: Simplify right side
    3,614.63x = 9,567,010.17
  5. Step 5: Solve for x
    x = 9,567,010.17/3,614.63
  6. Step 6: Final answer
    x = 2,646.75

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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.