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Finding the Fourth Proportional to 3,589.75, 4,954.01 and 2,017.86

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Solution

The fourth proportional to 3,589.75, 4,954.01 and 2,017.86 is: 2,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.75 : 4,954.01 = 2,017.86 : x
  2. Step 2: Convert to fraction form
    3,589.75/4,954.01 = 2,017.86/x
  3. Step 3: Cross multiply
    3,589.75x = 4,954.01 × 2,017.86
  4. Step 4: Simplify right side
    3,589.75x = 9,996,498.62
  5. Step 5: Solve for x
    x = 9,996,498.62/3,589.75
  6. Step 6: Final answer
    x = 2,784.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.