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Finding the Fourth Proportional to 3,575.94, 5,362.56 and 1,726.44

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Solution

The fourth proportional to 3,575.94, 5,362.56 and 1,726.44 is: 2,589.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.94 : 5,362.56 = 1,726.44 : x
  2. Step 2: Convert to fraction form
    3,575.94/5,362.56 = 1,726.44/x
  3. Step 3: Cross multiply
    3,575.94x = 5,362.56 × 1,726.44
  4. Step 4: Simplify right side
    3,575.94x = 9,258,138.09
  5. Step 5: Solve for x
    x = 9,258,138.09/3,575.94
  6. Step 6: Final answer
    x = 2,589.01

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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.