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Finding the Fourth Proportional to 3,589.98, 5,380.91 and 1,830.05

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Solution

The fourth proportional to 3,589.98, 5,380.91 and 1,830.05 is: 2,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.98 : 5,380.91 = 1,830.05 : x
  2. Step 2: Convert to fraction form
    3,589.98/5,380.91 = 1,830.05/x
  3. Step 3: Cross multiply
    3,589.98x = 5,380.91 × 1,830.05
  4. Step 4: Simplify right side
    3,589.98x = 9,847,298.29
  5. Step 5: Solve for x
    x = 9,847,298.29/3,589.98
  6. Step 6: Final answer
    x = 2,743.00

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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.