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Finding the Fourth Proportional to 3,610.64, 5,419.80 and 1,763.12

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Solution

The fourth proportional to 3,610.64, 5,419.80 and 1,763.12 is: 2,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.64 : 5,419.80 = 1,763.12 : x
  2. Step 2: Convert to fraction form
    3,610.64/5,419.80 = 1,763.12/x
  3. Step 3: Cross multiply
    3,610.64x = 5,419.80 × 1,763.12
  4. Step 4: Simplify right side
    3,610.64x = 9,555,757.78
  5. Step 5: Solve for x
    x = 9,555,757.78/3,610.64
  6. Step 6: Final answer
    x = 2,646.56

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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.