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Finding the Fourth Proportional to 3,675.78, 5,513.67 and 1,726.56

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Solution

The fourth proportional to 3,675.78, 5,513.67 and 1,726.56 is: 2,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.78 : 5,513.67 = 1,726.56 : x
  2. Step 2: Convert to fraction form
    3,675.78/5,513.67 = 1,726.56/x
  3. Step 3: Cross multiply
    3,675.78x = 5,513.67 × 1,726.56
  4. Step 4: Simplify right side
    3,675.78x = 9,519,682.08
  5. Step 5: Solve for x
    x = 9,519,682.08/3,675.78
  6. Step 6: Final answer
    x = 2,589.84

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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.